Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
Continue to next subchapter

Exercise 10 Page 610

The volume of a sphere is four thirds the product of π and the cube of the radius.

about 7.5m

Practice makes perfect

We want to find the radius of a sphere knowing that its volume is equal to 1767.1 m^3. Now, let's recall that the volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 We can now substitute 1767.1 for V in the above formula and solve for r.

V=4/3Ï€ r^3
1767.1=4/3Ï€ r^3
â–¼
Solve for r
1767.1* 3=4/3Ï€ r^3* 3
5301.3=4/3Ï€ r^3* 3
5301.3=4/3* 3Ï€ r^3
5301.3=4Ï€ r^3
5301.3/4Ï€=4Ï€ r^3/4Ï€
4Ï€ r^3/4Ï€=5301.3/4Ï€
r^3=5301.3/4Ï€
r^3=421.864049...
sqrt(r^3)=sqrt(421.864049...)
r=sqrt(421.864049...)
r=7.499935...
r≈ 7.5

The radius of the sphere, rounded to the nearest tenth, is 7.5 meters.