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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?
A. 1,848
B. 7,037
C. 16,537

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? $\newline$ A. $1$ , $848$ $\newline$ B. $7$ , $037$ $\newline$ C. $16$ , $537$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. 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?

\newline

A.

1

,

848

\newline

B.

7

,

037

\newline

C.

16

,

537

Find Radius: First, find the radius of the cylinder by dividing the diameter by $2$ . $\newline$ Radius = $\frac{\text{Diameter}}{2}$ = $\frac{28\,\text{inches}}{2}$ = $14\,\text{inches}$ .
Calculate Surface Area: Next, calculate the surface area of the cylinder. The surface area of a cylinder is $2 \pi r(r + h)$ . $\newline$ Surface Area = $2 \pi \times 14 \text{ inches} \times (14 \text{ inches} + 66 \text{ inches})$ .
Simplify Expression: Now, simplify the expression to find the surface area. $\newline$ Surface Area = $2 \times \pi \times 14 \text{ inches} \times 80 \text{ inches}.$
Perform Multiplication: Perform the multiplication to get the surface area. $\newline$ Surface Area = $2 \times 3.14 \times 14 \times 80$ . $\newline$ Surface Area = $2 \times 3.14 \times 1120$ . $\newline$ Surface Area = $7033.6$ square inches.
Round Surface Area: Round the surface area to the nearest square inch. $\newline$ Surface Area $\approx 7034$ square inches.

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