What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

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.