Question

if the radius of the smaller sphere is 3 inches and the larger sphere is 6 inches, how many times greater is the volume of the larger sphere

Answer 1

Just use the formula of the volume of the sphere to find how many times larger is the large sphere to the small sphere

Answer 2

If the radius of the smaller sphere is 3 inches and the larger sphere is 6 inches then volume of larger sphere is 8 times the smaller sphere.

What is volume of sphere?

Volume is the amount of substance  a sphere can hold in its capacity. The formula of volume of sphere is 4/3π$r^{3}$.

How to calculate the volume of sphere?

The radius of smaller sphere is 3 inches and of larger sphere is 6 inches.

The volume of smaller sphere =4/3π$(3)^{3}$

=4/3π*27

=4*9π

=36π

The volume of larger sphere =4/3π$(6)^{3}$

=4/3π216

=4*72π

=288π

=8*36π

Volume of larger sphere =8* volume of smaller sphere.

Hence the volume of larger sphere is 8 times volume of smaller sphere.

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