Question

A ball shaper like a sphere has a radius of approximately 2 inches. Which of the following is the closest to the volume of the ball?

Answer 1

34 (rounded to the closet number)

Explanation:

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the sphere's radius, and π is the mathematical constant pi.

Substituting r = 2 inches into the formula, we get:

V = (4/3)π(2 inches)^3

V = (4/3)π(8 cubic inches)

V = (32/3)π cubic inches

Using a calculator, we can approximate (32/3)π to be 33.51.

Therefore, the ball shaper's closest volume to the sphere's actual volume is approximately 33.51 cubic inches. (34 cubic inches)

Answer 2

For a sphere with a radius of approximately 2 inches, the volume is V = (4/3)π(2³) = (32/3)π. Considering π as approximately 3.14159, the volume is around (32/3) * 3.14159 ≈ 33.51 cubic inches.

The volume of a sphere is determined by the formula V = (4/3)πr³, where r represents the radius. For the given ball shaper with a radius of approximately 2 inches, the volume can be computed as follows:

(4/3)π(2³) = (32/3)π

This results in a volume of approximately (32/3)π cubic inches. The (pi) in the formula represents the mathematical constant pi, which is approximately 3.14159. Therefore, the volume of the ball shaper is roughly (32/3)* 3.14159≈ 33.51032) cubic inches.

In summary, the ball shaper with a radius of 2 inches has a volume close to (32/3)π cubic inches, which is approximately 33.51 cubic inches when evaluated.