Question

A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 7.5 feet, how many gallons of water can it hold? Note: Use US gallons.

Answer 1

you need to find the volume of half sphere, and you are given the diameter so you need to divide by 2 to get the radius

Answer 2

\[V=\frac{ 1 }{ 2 }.\frac{ 4 }{ 3 }\pi r^3\]

Answer 3

so the volume of half sphere is:\[V=\frac{ 2 }{ 3 }\pi r^3\]

Answer 4

remember that r=d/2

Answer 5

and that is your full answer