Question

A cylindrical water tank's height is 48 feet and the diameter is 30 feet. Considering that 1 cubic yard = 202 gallons, how many gallons are in the tank when filled to capacity? (π = 3.14)

A)
175,892 gallons


B)
205,472 gallons


C)
253,712 gallons


D)
285,215 gallons

Answer 1

The answer to your question is the letter C. 253712 gallons

Explanation:

Data

height = 48 ft

diameter = 30 ft

1 yd³ = 202 gallons

π = 3.14

the number of gallons = ?

Process

1.- Write the formula to calculate the volume of a cylinder.

Volume = πr²h

2.- Calculate the volume

Volume = (3.14)(30/2)²(48)

-Simplification

Volume = (3.14)(225)(48)

-Result

Volume = 33912 ft³

3.- Convert ft³ to yd³

1 yd³ -------------- 27 ft³

x ------------- 33912 ft³

x = (33912 x 1)/ 27

x = 33912 / 27

x = 1256 yd³

4.- Convert yd³ to gallons

1 yd³ --------------- 202 gallons

1256 yd³ --------------- x

x = (1256 x 202) / 1

x = 253712 gallons