A solid is in the form of a cylinder with hemispherical ends. The 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. (Use π = 22/7).
Given:
The radius of cylinder = radius of hemisphere =
Diagram is given below:
The height of cylinder =
= 19 - 7
= 12 cm
So,
Volume of the cylinder = πr2h
= π× (3.5)2×12
= 147π cm3
Volume of 2 hemispheres = 2×
= 57.16π cm3
The volume of the solid = Volume of the cylinder + Volume of a hemisphere
= 147π + 57.16π
= 204.16π
= 641.64 cm3
The surface area of the solid = CSA of cylinder + Surface area of 2 hemisphere
= 2πrh + 2×2πr2
= 2πr(h + 2r)
= 418 cm2