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

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

Step-by-step 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