Question

What is the volume of a hemisphere that

has diameter of 12.6cm, to the nearest
tenth of a cubic centienter?

Answer 1

Given:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

`r=(d)/(2)=(12.6)/(2)=6.3`

We need to determine the volume of the hemisphere.

Volume of the hemisphere:

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

`V=(2)/(3) \pi r^3`

Substituting the values, r = 6.3 and π = 3.14, we have;

`V=(2)/(3) (3.14)(6.3)^3`

Simplifying the values, we have;

`V=(2)/(3) (3.14)(250.047)`

`V=(1570.29516)/(3)`

Dividing, we have;

`V=523.43172`

Rounding off to the nearest tenth, we get;

`V=523.4`

Thus, the volume of the hemisphere is 523.5 cm³