a cylindrical-shaped water storage tank with diameter 60 ft and height 20 ft needs to be painted on the outside. if the tank is on the ground, find the surface area that needs painting

Answers

Answer 1

Answer:

6600ft.² is the correct answer.

Step-by-step explanation:

Given that,

Diameter of the Cylindrical tank, d = 60 ft Height of the Cylindrical tank, h = 20 ft Radius of the Cylindrical tank, r = 30ft.

[tex] \: [/tex]

To Find:

Area of the Cylindrical tank to be painted.

[tex] \: [/tex]

Solution:

Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle

[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]

[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]

[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]

[tex]\longrightarrow \: \pi r(2h + r)[/tex]

[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]

[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]

[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]

[tex]\longrightarrow \: 660 \times 10[/tex]

[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]

Hence, Area of the Cylindrical tank to be painted is 6600ft.²

_____________________Additional Information:

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]


Related Questions

find the polynomial f(x) of degree 5 that has the following zeros -3(mulitiplicity 2),5,8,-7

Answers

Answer:

Step-by-step explanation:

(x + 3)²(x - 5)(x - 8)(x + 7)

It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.Which expression can be used to represent the cost of a cell phone bill when x is the number of GB of data used?

a.30 + 10

b.30x + 10

c.10x + 30

d.10x + 30x

Answers

Answer: I Think Its C.( 10x ) + 30

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Can you guys please help me answer these two questions !!

Answers

Answer:

(e) 14.4 units²(d) 153.5 ft²

Step-by-step explanation:

A calculator is a useful tool for evaluating formulas with numbers given. The attached shows results using a TI-84. Put the numbers in place of the corresponding variables and do the arithmetic.

a) 14.4 square units

b) 153.5 square feet

_____

Additional comment

Be sure your calculator is set to the mode corresponding to the angle measure you're using. Here, it is "degrees." (Often, the default is radians.)

It is a good idea to learn to use a suitable scientific or graphing calculator. Some nice TI-84 work-alike calculator apps are available for iOS and Android platforms. Your school may have a list of exam-approved calculator models that would be useful, or your online curriculum materials may provide a calculator.

Please help!!
Find the volume of the sphere

Answers

Answer:

Formula: [tex]\frac{4}{3}\pi r^3[/tex]

Plug in values: radius = 9.3

Volume: 1072.476π cubic units

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex], where r = radius. In this case, we leave the volume of sphere in terms of pi.

The only value we can plug in is the radius. In this case, the radius is 9.3 units.

Now, we can solve for the volume:

[tex]\frac{4}{3} *9.3^3 * \pi[/tex] [tex]\frac{4}{3} * 804.357 * \pi[/tex] [tex]1072.476 * \pi[/tex] [tex]1072.476\pi[/tex]

3x+4y=36 solution for y?

Answers

3x+4y=36

-3x      -3x

    4y=36-3x

    /4  /4

    y = 9 - 3/4x

Find the value of xx, yy, and zz, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

Suppose that I wrote 150 words of my English paper yesterday and today I begin typing at a rate of 35 words per minute. Is the total number of words typed a linear function of the number of minutes since I began typing today?

Answers

Answer: Yes this is a linear function

Explanation:

x = number of minutes

35x = number of extra words after x minutes

This is because you add on 35 words per minute (wpm). So for instance, after 10 minutes, you add on 35x = 35*10 = 350 more words.

This is on top of the initial 150 words you already wrote yesterday. So we add the 35x onto the 150 to get the expression 35x+150. This represents the number of words total from yesterday and today combined.

Saying y = 35x+150 shows we have a linear function of the form y = mx+b

m = 35 = slope

b = 150 = y intercept

A jar contains some bacteria. Every day the number of bacteria
Loubles. After 20 days the jar is full. When was the jar one-eighth
full?

Answers

Answer:

Day 2 the jug was full

Step-by-step explanation:

If 20days=1full jag what about 1/8 full

1/8×20

=2days

Which of the following best describes the nitrogen fixation process?(1 point) Consumers convert nitrogen gas into ammonia, nitrites, and then nitrates. Waste from consumers adds nitrogen to the soil, which can be used by producers. Consumers convert nitrogen gas into ammonia, nitrites, and then nitrates. Waste from consumers adds nitrogen to the soil, which can be used by producers. Producers convert nitrogen gas into nitrates in the soil. Producers can then absorb nitrates through their roots. Producers convert nitrogen gas into nitrates in the soil. Producers can then absorb nitrates through their roots. Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers. Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers. Producers use the energy from sunlight to fix nitrogen gas in the atmosphere. Producers can then absorb nitrogen through their leaves. Producers use the energy from sunlight to fix nitrogen gas in the atmosphere. Producers can then absorb nitrogen through their leaves.

Answers

Answer:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

Step-by-step explanation:

.

Answer:

D

Step-by-step explanation:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

The triangle above has 2 sides that are the same length what kind of triangle is it

Answers

Answer:

is that a square triangle? a square cube that holds 2 triangles withing it? which shows the both has 2 sides?

Which expression represents the phrase below?
3 fewer than a number, p
A. 3-P B. p=3
3p
C. 3:p
D. p-3

Answers

Answer:

d) p - 3

3 fewer than menas you need to subtract 3

Step-by-step explanation:

The expression represents the phrase “3 fewer than a number, p” is (p-3).

Given

Expression;  the phrase: “3 fewer than a number, p”

What is the phrase?

A small group of words standing together as a conceptual unit, typically forming a component of a clause:

The given number is p which is smaller than a number which is 3.

Expression;  the phrase: “3 fewer than a number, p”

Then,

The expression represents the phrase is;

Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).

What type of sequence is this?
15, 12, 9, 6, ...

Answers

Answer:

it has the pattern of -3 every number.

hope that helps

Hey there!

These are the 2 kinds of sequences:

Arithmetic sequence. This is where we use addition/subtraction in order to get the next term.Geometric sequence. This is where we use multiplication/division in order to get the next term.

Let's check the given sequence:

15, 12, 9, 6...

Do we use addition, subtraction, multiplication or division?

Well, we definitely do not multiply or divide anything here, so we have an arithmetic sequence.

Do we use addition or subtraction?

Well, let's take another look at our sequence.

15, 12, 9, 6...

As you can see, we use subtraction in order to get the next term.

Hence, we have

[tex]\boxed{\boxed{\bold{an~arithmetic~sequence}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

Select the correct days. Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F. I WILL MARK BRAINLY PLS HELPP

Answers

Answer:

Monday and tuesday!

Step-by-step explanation:

The reason why this is your answer is that they are even colder than 1.75 celsius.

Thanks!

Mark me brainliest!

here a subtraction problem that has been solved incorrectly what is the right answer for 74-25=59 but do it in the addition sentence that check the subtraction problem but the choices is 84-25=109 59+25=84 84-59=43 ​

Answers

The equation is wrong but 84 - 25 = 109 59+25= 84

Each face of a pyramid is an isosceles triangle with base 30m and vertical height 22m.
Calculate the area of one face.

Answers

Answer:

Step-by-step explanation:

a=[tex]\frac{1}{2}*30*22[/tex]

 =15*22

 =330 m2

Zero divided by any non-zero number is ____.

Answers

Answer:

zero...................

what is the vertex of f(x)=(x+1)^2-6

Answers

(-1, -6) is the vertex of that equation. use the number in the brackets and change the signs for the x-value. use the last number outside of the brackets for the y-value

|After four games a hockey team had scored an
average of 6 goals per game.
How many goals would the team need to score in
its fifth game to have an average of 8 goals for the
five games played?

Answers

the answer to this question is x = 11

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.

Answers

Answer:

2.5

hope this helps

3x ^3- 12x^2- 15x = 0

factor and solve to find all the zeros
show all work

Answers

Answer:

x = -1 or 5

Step-by-step explanation:

3x^3-12x^2-15x=0

Divide all by 3x.

x^2-4x-5=0

Find the factors of -5 that add up to -4.

This will be 1 and -5.

(x+1)(x-5)=0

x+1=0

x= -1

x-5=0

x=5

What is the area of the triangle?


A. 32 square centimeters

B. 48 square centimeters

C. 96 square centimeters

D. 60 square centimeters

Answers

Answer:

48

Step-by-step explanation:

A = bh/2

A= 8 x 12 / 2

A= 96 / 2

A = 48

Camile uses specialized equipment designed by Olivia to analyze and predict weather and atmospheric changes. Which describes the career pathways of Camile and Olivia?


Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway.
Olivia is in the Engineering and Computer pathway and Camile is in the Physical Science and Math pathway.
Camile is in the Engineering and Technology pathway and Olivia is in the Science and Math pathway.
Camile is in the Science and Math pathway and Olivia is in the Engineering and Technology pathway.

Answers

Answer:

Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway.

Step-by-step explanation:

Engineering & Design pathway⇒ A methodological series of steps that are used by engineers in creating functional products and processes.

Science & Methodology pathway⇒ Steps used by scientists to create explanations based on the evidence which they have gathered.

Hence, [A] Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway is the correct answer.

[RevyBreeze]

Answer:

A - Olivia is in the Engineering and Design pathway and Camile is in the Science and Meteorology pathway.

Step-by-step explanation:

The high temperature in a mountain city was 23°C. What was the high
temperature in degrees Fahrenheit?

Answers

The high temperature in degrees Fahrenheit is about 73 F

4a + (-1.2b) + (-3a) + 7.9b

Answers

a + 6.7b
i know this because if u add the a’s and b’s together, then u get a + 6.7b

Hey there!

4a + (-1.2b) + (-3a) + 7.9b

REWRITE/REWORD:

= 4a - 1.2b - 3a + 7.9b

COMBINE the LIKE TERMS:

= (4a - 3a) - (1.2b + 7.9b)

= 4a - 3a - 1.2b + 7.9b

= 1a - 6.7b

= a - 6.7b


Therefore, your answer is: a + 6.7b


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Hey guys can u help me on this one, I quite don’t get it

Answers

Answer:

try 130

Step-by-step explanation:

dont murder me if my math is wrong....

these numbers form an addition and subtraction fact family for 8,3,11 what is the answer​

Answers

Answer:

A fact family is a set of related addition and subtraction number sentences that include the same numbers. The numbers 2, 4, and 6 can be written in two different addition sentences. The numbers 2, 4, and 6 can be written in two different subtraction sentences. These four number sentences make up a fact family.

3x+25 what would x be

Answers

Answer:

8.3

Step-by-step explanation:

25/3= 8.3

so yes

A jar contains some bacteria. Every day the number of bacteria
doubles. After 20 days the jar is full. When was the jar one-eighth
full?

Answers

Answer:

Day 2

Step-by-step explanation:

Every 20 days, one jar is full.

To find when it was 1/8 full, we multiply the 20 days by 1/8.

20 x 1/8 =  2

Day 2

Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.



ln(1/4k)


Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c*ln(h).



ln(1/4k)=

Answers

Step-by-step explanation:

[tex] ln( \frac{1}{4}k ) [/tex]

[tex] ln(k {}^{ - 2} ) [/tex]

[tex] - 2 ln(k) [/tex]

The simplified form of logarithm is   [tex]ln(\frac{1}{4k}) = - ln(k) - 2ln(2)[/tex]

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the Logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log ABlog A − log B = log A/Blog Aⁿ = n log A

Given data ,

The equation is

[tex]A = ln(\frac{1}{4k})[/tex]

Now , from the logarithm rule log A − log B = log A/B , we can simplify

[tex]ln(\frac{1}{4k}) = ln(1) - ln (4k)[/tex]

And , [tex]ln(1) = 0[/tex]

So ,

[tex]ln(\frac{1}{4k}) = - ln (4k)[/tex]

Now , from the logarithm rule log A + log B = log AB , we get

[tex]ln(\frac{1}{4k}) = - ( ln(k) + ln(4) )[/tex]

[tex]ln(\frac{1}{4k}) = - ln(k) - ln(4)[/tex]

And , [tex]ln(4) = 2 ln(2)[/tex]

So ,

[tex]ln(\frac{1}{4k}) = - ln(k) - 2ln(2)[/tex]

Hence , the simplified form of logarithm is   [tex]ln(\frac{1}{4k}) = - ln(k) - 2ln(2)[/tex]

To learn more about logarithm click :

https://brainly.com/question/12049968

#SPJ2

help i dont know this i have this test i have 30 min

Answers

Answer:

Step-by-step explanation:

The Value of Y is 3 MORE than X.

For example, Because the equation is x+3=y

x is any number on the top row,

y is any number on the bottom row,

Meaning 1 + 3 = 4 Because 1 is on the x row, and 4 is on the y row.

You find the number you want to try and do x+3=y

Anyway answer is at the top.

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