Question

A solid is in the form of a cylinder with hemispherical ends. Total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid.

Answer 1

Volume of cylinder = `pir^2 h`

                             `=22/7 xx 7/2 xx 7/2 xx 12`

                             `=462 xm^3`

Volume of 2 hemisphere = `4pir^3`

                                       `=4/3 xx 22/7 xx 7/2 xx 7/2 xx 7/2`

                                       `=179.6 cm^3`

Therefore,

 Volume of solid `=462 + 179.6`

`=641.6 cm^3`

Total surface area of the solid

`=2pirh + 4pir^2`

`= 2pir (h +2r)`

`= 2 xx 22/7 xx 7/2 (12 + 2 xx 7/2)`

`= 418 cm^2`