Question

Given figure is a solid made up of a cone and a hemisphere.

The total height of ther figure is 20 cm and the slant height of
the cone is V218 cm. If the centimeter measure of the radius
of the base is a multiple of 7, find the volume of the solid
figure.

Answer 1

5514.67 cm³

Explanation:

The computation of the volume of the solid figure is shown below

Given that

The total height is 20 cm

The slant height is 218 cm

radius of the base is 7 cm

the height of the hemisphere would be equivalent to the radius i.e. 7 cm

the height of the cone is

= 20 cm - 7 cm

= 13 cm

Now the volume of the cone is

= πrl

= 3.14 × 7 × 218

= 4796 cm^3

The volume of the hemisphere is

= 2 ÷3 πr^3

= 2 ÷ 3 × 3.14 × 7^3

= 718.67 cm3

Now the volume of the solid figure is

The volume of solid= volume of cone + volume of the hemisphere

= 4796 + 718.67

= 5514.67 cm³