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)

253,712 gallons

V = Bh; the base of a cylinder is a circle.

V = πr2 h; r = 0.5 (30) = 15 feet

V = 3.14 (15) 2 (48)

V = 3.14 (225) (48) = 33,912 cubic feet

33,912 cubic feet

27 cubic feet in a cubic yard

= 1256 cubic yards

1256 x 202 = 253,712 gallons

Step-by-step explanation:

r=d/2 r=30/2=15ft

h=48ft

v=πr²h

v=3.14*15²*48

v=33912ft³

cubic foot=0.037*33912

cubic foot=1254.74cubic foot