Question

A large basin has the shape of a hemisphere with a radius of 25 inches. Calculate the area of rhe circle of water if the basin is filled to a depth of 10 inches​

Answer 1

100pi in^2, or 314.16 in^2 to nearest hundredth.

Explanation:

The areas of the surface of water for full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).

The area for a full basin = pi r^2 = 625pi in^2.

So the area when depth is 10 inches = 625pi / 6.25 = 100pi in^2.