SOLUTION: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know th

Question 165645: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this.
-------------------------

You could solve for the radius, then find the volume of the smaller ball, but that's not necessary.
The volume is a function of the cube of the radius. If the radius is doubled, the volume is 2^3 time, or 8 times.
The 2nd ball's radius is 1/2, so its volume is (1/2)^3 times, or 1/8.
So it's 100 cubic inches or air.

RELATED QUESTIONS
a beach ball holds 800 cubic inches of air. another beach ball has a radius that is half... (answered by stanbon,edjones,mananth)

A small beach ball has a radius of 8 inches. A larger beach ball has a volume that is... (answered by ankor@dixie-net.com)

A beach ball has a diameter of 15 inches. How much air will the beach ball... (answered by laoman)

When purchased, a beach ball is deflated and packaged flat. The package states that when... (answered by jorel555)

the circumference of a beach ball is 95cm how much air would it take to fill the beach... (answered by stanbon,macston)

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your... (answered by Alan3354)

a beach ball has a diameter of 15 cm. what is the surface of the beach ball if... (answered by stanbon)

A beach ball has a diameter of 16 inches. How much air will it take to keep the ball... (answered by ikleyn)

18.When blown up, a beach ball has a diameter of 1 foot. How much air is needed to blow... (answered by nerdybill)