Question

A sphere with a 1-unit radius has three times as many units of surface area as it has units of volume."

a. True.
b. False.

Answer 1

A sphere with a 1-unit radius has three times as many units of surface area as it has units of volume. The statement is true.

Step-by-step explanation:

A sphere with a 1-unit radius has three times as many units of surface area as it has units of volume. The formula for the volume of a sphere is 4/3 (pi) (r)³ and the formula for its surface area is 4 (pi) (r)². To determine if the statement is true or false, we need to compare the surface area and volume of the sphere. Let's calculate:

Surface Area = 4 (pi) (1)² = 4 (pi)

Volume = 4/3 (pi) (1)³ = 4/3 (pi)

Since the surface area is 4 (pi) and the volume is 4/3 (pi), the surface area is indeed three times greater than the volume. Therefore, the statement is true.