A hollow ball is made up of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3.14 for pi. a. 33.5cm^3 b. 267.9cm^3 c. 636.4cm^3 d. 994.3cm^3
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Since the ball ha a radius to the outside surface of 6 centimeters and the ball is made up of rubber that is 2 centimeters thick, subtract 6 centimeters and 2 centimeters to get the radius of the ball. The formula to get the volume of the sphere is V = 4/3 πr³ where π is 3.14 and r is the radius. Substitute the value of the radius using the formula V = 4/3 πr³.
> V = 4/3 πr³
> V = 4/3 (3.14)4³
> V = 4/3 (3.14)64
> V = 4/3 (3.14)64
> V = 4/3 *200.96
> V = 4*200.96/3
> V = 4*200.96/3
> V = 803.84/3
> V = 267.9 cm^3
The answer is letter B. 267.9cm^3