Question

A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of feet, how many gallons of water can it hold?

Answer 1

how many feet is the diameter?

Answer 2

6ft

Answer 3

\[V=\frac{4}{3}\pi r^3\]
Half of a sphere would be
\[V=\frac{2}{3}\pi r^3\]
The radius is half of the diameter, 3 ft. You can plug it in a solve.

Answer 4

Your answer would come out to cubic feet, which you would then have to convert to gallons.

Answer 5

1 ft^3=7.48051948 US gallons

Answer 6

thanks alot dude!