What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?
Question
What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?
Solution
The volume V of a hemisphere can be calculated using the formula V = 2/3 * π * r³, where r is the radius of the hemisphere.
Step 1: Substitute the given radius into the formula. In this case, r = 3.1 in.
V = 2/3 * π * (3.1 in)³
Step 2: Calculate the cube of the radius.
(3.1 in)³ = 29.791 in³
Step 3: Multiply the result by 2/3 and π.
V = 2/3 * π * 29.791 in³ = 62.377 in³
Step 4: Round the result to the nearest tenth of a cubic inch.
V ≈ 62.4 in³
So, the volume of the hemisphere with a radius of 3.1 in is approximately 62.4 cubic inches.
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