Question

given figure is a solid made up of a cone and a hemisphere the total height of the figure is 20cm and the slant height of the cone is root 218cm if the centimeter measures of the radius of the base is a multiple of 7 find the volume of the solid​

Answer 1

Answer:

what do mean by centimeters measurements

Answer 2

Volume of the solid is 5514.67 cm³

Height of the solid figure = 20 cm  (Given)

Slant height of the cone = 218 cm  (Given)

Radius of the base = 7 cm  (Given)

Thus,

Height of the cone -

= 20 - 7

= 13 cm

Volume of cone = πrl

= 22/7 × 7 × 218

= 4796 cm²

Volume of hemisphere = 2/3πr³

= 2/3 × 22/7 × 7 × 7 × 7

= 718.67 cm³

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

Volume of solid = 4796 + 718.67

= 5514.67

Therefore, the  volume of the solid is 5514.67 cm³