Question

A solid is in form of cylinder with hemispherical ends. the total height of the solid is 20cm and the diameter of the cylinder is 7cm.Find the total volume of the solid

Answer 1

Answer:

Given diameter of the cylinder is = 7 cm

As radius of the cylinder = radius of the hemisphere

So r is 7/2 = 3.5 cm

Given height of the solid is 20 cm

So height of the cylinder is = 20 - 2(3.5) = 13 cm

Hence volume of the solid

= volume of the cylinder + 2 x volume of the hemisphere

= πr2h + 2 x 2/3 x πr3

= 22/7 x 3.5 x 3.5 x 13 + 2 x 2/3 x 22/7 x 3.5 x 3.5 x 3.5

= 500.5 + 179.66

= 680.16 cm³