The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.

Responses

A 4.2 4.2 ft ^3

B 8.1 8.1 ft ^3

C 16.8 16.8 ft ^3

D 33.5 ft^3

1 answer

To find the volume of a sphere, you can use the formula V = (4/3)πr^3, where r is the radius of the sphere.

Given that the diameter is 2 ft, the radius would be 1 ft (since the diameter is double the radius).

Plugging this into the formula:
V = (4/3)π(1)^3
V = (4/3)π

Rounded to the nearest tenth, (4/3)π is approximately 4.2.

Therefore, the correct answer is:
A) 4.2 4.2 ft ^3