Volume of Spheres

Sphere V = 4/3(π r3) To calculate the volume of a sphere. 1. Cube the radius Multiply by 4 Divide by 3 Leave answers in terms of π.

Find the volume of the sphere. V = 4/3 (π r3) V = 4/3 (π) (23) V = 4/3 (π) (8) V = 32/3 (π) V = 102/3 π ft3

Find the volume of the sphere. V = 4/3 (π r3) V = 4/3 (π) (73) V = 4/3 (π) (343) V = 1372/3 (π) V = 4571/3 π meters3 Find the radius. r = 7 m

Find the volume of the hemisphere. A hemisphere is half of a sphere. To find the volume of a hemisphere you could fine the volume of the sphere and divide by two which is the same as using the formula: V = 2/3(π r3) V = 2/3 (π) (153) V = 2/3 (π) (3,375) V = 6,750/3 (π) V = 2,250 π in3

Work the problem backwards: The volume of a sphere is 972π in3. What is the radius of the sphere? Since we are missing the radius, work the problem backward. V = 4/3 π r3 972π = 4/3π • r3 729π = πr3 π π 729 = r3 9 = r Multiply both sides by the reciprocal of 4/3. This would be 3/4. Divide by π. Cube root both sides. The radius of the sphere is 9 in.