What is the volume of a hemisphere with a diameter of 61.5 cm, rounded to the nearest tenth of a cubic centimeter?

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: Find the radius. The diameter of the hemisphere is 61.5 cm, so the radius r is half of the diameter, which is 61.5 cm / 2 = 30.75 cm.

Step 2: Substitute the radius into the volume formula. V = 2/3 * π * (30.75 cm)³.

Step 3: Calculate the volume. V = 2/3 * π * 29014.14 cm³ = 60872.33 cm³.

Step 4: Round to the nearest tenth of a cubic centimeter. The volume of the hemisphere is approximately 60872.3 cm³.