Question

A spherical paintball measures 1.5 centimeters in diameter.Approximately how much paint is in it? (Use 3.14 for pi and round your answer to thenearest hundredth.)O 1.77 cubic cmO 14.13 cubic cmO9.42 cubic cmO 7.07 cubic cm

Answer 1

1.77 cubic cm

Step-by-step explanation

To find how much paint is in the paintball, we have to find its volume.

The volume of a sphere of radius r is,

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

In this case, we know that the diameter of the paintball is 1.5 cm, so the radius is,

`r=(d)/(2)=(1.5cm)/(2)=0.75cm`

Using 3.14 for π, the volume is,

`V=(4)/(3)\cdot3.14\cdot0.75^3cm^3=1.76625cm^3\approx1.77cm^3`

Hence, there are approximately 1.77 cm³ in the paintball, rounded to the nearest hundredth.