Question

What is the exact volume of the sphere with a diameter of 12.3cm?

Answer 1

Volume of sphere is given by:

`V = (4)/(3)\pi r^3` ......[1]

where

V represents the volume of sphere

r represents the radius of the sphere.

Value of
`\pi = 3.14`

Since, it is given that: Diameter(D) = 12.3 cm

Diameter(D) = 2r

`12.3 = 2r`

Divide both side by 2 we get;

r = 6.15 cm

Now, substitute the value of r in [1] we get;

`V = (4)/(3)(3.14)(6.15)^3`

Simplify:

V = 973.853732 cubic cm

Therefore, the exact volume of sphere is, 974 cubic cm