Mathematics, 21.06.2019 20:30 destinyharris8502

I’m on question 7 it says a covered water tank is in the shape of a cylinder the tank has a 28 inch diameter and a height of 66 inches to the nearest square inch what is the surface area of the water tank

I’m on question 7 it says a covered water tank is in the shape of a cylinder the tank has a 28 inch

Answers: 2

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Answer from: Aliciaonfleek

$A = 2 \pi rh + 2 \pi r ^{2}$
$r = \frac{1}{2} (28) = 14$
A = 7037.17

Answer from: jacob7542

7038 square inches

Step-by-step explanation:

Formula for Surface area is given by = $2\pi r h + 2\pi r^2$

here radius (r) = 14 inches

height (h) = 66 inches

Surface area = $2\pi (14) (66) + 2\pi (14)^2$

= 5806+2(616)

= 5806+1232

= 7038 square inches

Answer from: bm42400

C. 400 in^2

Step-by-step explanation:

First find the surface area or the area of the base which is in the shape of a square and has a side length of 10 in. So square 10 to find the area.

Area of base: 10 * 10 = 100

Next find the area of one of the triangles.

As we could see the triangle has a slant height of 15 in and a base of 10. To find the area of a triangle we multiply the base times the height and multiply it by half.

Area of one triangle. 15 * 10 = 150 * 1/2 = 75

Since one side of the triangle has a surface area of 75 inches we will multiply it by 4 since there are four triangles to find the total surface area of the four faces.

75 * 4 = 300

We now know that the the 4 triangles surface area dd up to 300 so we will add it to the area of the base which is 100 to find the whole surface area of the figure.

300 + 100 = 400

Answer from: iliketurtures

804

Step-by-step explanation:

I did the quiz.!

Answer from: sanchezgirl513

$7037\text{ inch}^2$

Step-by-step explanation:

We have been given that a covered water tank is in the shape of a cylinder. The tank has a 28-inch diameter and a height of 66 inches. We are asked to find the surface area of the water tank.

We will use surface area of cylinder to solve our given problem.

$SA=2\pi rh+2\pi r^2$

$SA=2\pi r(h+r)$ , where,

SA = Surface area of cylinder,

r = Radius of cylinder,

h = Height of cylinder.

Radius of the given cylinder would be half the diameter that is $\frac{28}{2}=14$ inches.

$SA=2\pi(14\text{ inch})(66\text{ inch}+14\text{ inch})$

$SA=28\pi \text{ inch}(80\text{ inch})$

$SA=7037.16754404\text{ inch}^2$

Upon rounding to nearest square inch, we will get:

$SA\approx 7037\text{ inch}^2$

Therefore, the surface area of the water tank is approximately 7037 square inches.

Answer from: rokinray

Do you guys do common core becase there would be two type's of a surface area!

Answer from: livigrace9004

If the diameter is 16 inches, then its radius is half that, r = 8.

$\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=8
\end{cases}\implies A=4\pi 8^2$

Answer from: Drea1385

The answer is 1848 because 28×66 is 1848

Answer from: elijahjoyner20

The surface area of a sphere:
A = 4 pi r^2
where pi = 3.1416
r is the radius

since diameter is given
r = d / 2
r = 16 / 2
r = 8

A = 4 pi (8^2)
A = 804 sq in is the surface area of the disco ball

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