Question

PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and place a box around your answer. Optional Bonus point: what is the radius of the ball?

Answer 1

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

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

we have

`V=256\ cm^(3)`

assume

`\pi =3.14`

substitute and solve for r

`256=(4)/(3)(3.14)r^(3)`

`768=(12.56)r^(3)`

`r^(3)=768/(12.56)`

`r=3.94\ cm`