Question

Mr. Litterski creates a ball from rubber bands.

The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!

Answer 1

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

`A = 4\pi r`

In which r is the radius.

Volume:

`V = (4\pi r^3)/(3)`

The circumference of the ball is 9.4 inches.

So the radius is:

`6.2832r = 9.4`

`r = (9.4)/(6.2832) = 1.53`

Surface area

`A = 4\pi(1.53)^2 = 29.3`

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

`V = (4\pi (1.53)^3)/(3) = 14.9`

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.