How much broth can a bowl in the shape of a hemisphere hold? The diameter of the bowl is 10.2 inches. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.

Answer 1

The volume of a hemisphere can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere.

Given that the diameter of the bowl is 10.2 inches, the radius would be half of that, which is 10.2/2 = 5.1 inches.

Plugging the radius into the volume formula, we get V = (2/3) * 3.14 * (5.1)^3 ≈ 272.25 cubic inches.

Rounding this to the nearest whole number, the bowl can hold approximately 272 cubic inches of broth.