Question

The radius of the large sphere is double the radius of the

smal sphere
How many times is the volume of the large sphere than the
small sphere?

Answer 1

8 times

Explanation:

Given

ratio of radii = a : b, then

ratio of volumes = a³ : b³

Here ratio of radii = 1 : 2, hence

ratio of volumes = 1³ : 2³ = 1 : 8

Thus the volume of the large sphere is 8 times the volume of the small sphere

Answer 2

8 times

Explanation:

We know that the radius of smaller sphere is r,

The volume of sphere is given by:

`V_1=(4)/(3) \pi r^(3)`

where V_1 is the volume of the small sphere.

As we know that the radius of large sphere is double of the smaller sphere, the radius of large sphere will be 2r

Let V_2 be the volume of large sphere

`V_2=(4)/(3)\pi (2r)^(3) \\ =(4)/(3)\pi *8r^3`

Separating 8 aside

`V_2=8((4)/(3)\pi r^(3))\\V_2=8V_1`

We can see that the volume of large sphere is eight times the volume of small sphere ..