Question

A sphere with a diameter of 6X centimeters is shown below, which of the following expressions best represents the volume of the spear in cubic centimeters in terms of pi?

Answer 1

We are given diameter of sphere as 6x centimeter.

Let us first find radius of sphere.

Radius is half of diameter.

Radius is half of 6x that is 3x centimeter for the sphere.

The formula for volume of sphere is given by :

$V = \frac{4}{3} \pi r^{3}$

Now let us plug the value of radius in this equation,

$V = \frac{4}{3} \pi (3x)^{3}$

$V = \frac{4}{3} (3.14) (3x)^{3}$

ON simplifying we get ,

V = 113.04 x³ cubic centimeter