Question

The radius of the large sphere is double the radius of

the small sphere.
How many times is the volume of the large sphere than
the small sphere?
2
4
6
8

Answer 1

8

Explanation:

Given the ratio of the radii = a : b, then

ratio of volume = a³ : b³

Here the ratio of radii = 1 : 2 , thus

ratio of volume = 1³ : 2³ = 1 : 8

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

Answer 2

8 times

Explanation:

Volume of sphere 4/3 *pi*r^3

Let small sphere radius r1=r

So radius of large sphere R= 2r (given)

Put all valves in sphere formula and calculate

Small sphere vol v1 = 4/3*pi*r^3......... Let assume eq 1

Large sphere vol= 4/3*pi*(2r)^3

= 4/3*pi* 8r^3

Or = 8v1

substitute 4/3*pi*r^3 value from eq1