90,003 views
43 votes
43 votes
A spherical paintball measures 2.8 centimeters in diameter. Approximately how much paint is in it?

User AsThoughtWill
by
2.4k points

1 Answer

8 votes
8 votes

Surface Area of a Sphere

Given a sphere of radius r, the surface area is calculated by:


S=4\pi r^2

The diameter of the paintball is d = 2.8 cm, thus the radius is r = 1.4 cm

The amount of paint on the sphere is equivalent to the surface area, or:


S=4\pi(1.4\operatorname{cm})^2=24.63\operatorname{cm}^2

User Julien Schmidt
by
2.6k points