Question

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.

Answers

Answered by GPT 3.5
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.
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