the volume of a sphere varies directly as the cube of its radius. the volume of a sphere of radius r is V. Find the radius R in terms of r of a sphere with volume 64V About the author Madelyn
Answer: The formula for the volume of a sphere is V=4/3πr^3 From the figure, the radius of the sphere is 8 m. Substitute 8 for r in the formula. V=4/3π(8)^3 Simplify. V=4/3π(512) =2145 Therefore, the volume of the sphere is about 2145 m3 . Reply
Answer:
The formula for the volume of a sphere is
V=4/3πr^3
From the figure, the radius of the sphere is 8 m.
Substitute 8 for r in the formula.
V=4/3π(8)^3
Simplify.
V=4/3π(512)
=2145
Therefore, the volume of the sphere is about 2145 m3 .