The height of a right circular cylinder is 10.5 m. Three times the sum of the area of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Explanation

Height of a cylinder =10.5 cm
Let 'r' be the radius of cylinder
Also, Area of 2 bases of cylinder `=2(pi r^2)`
C.S. Area of cylinder `=2pi rh`
Acc. to question,`3(2pi r^2)=2(2pi rh)`
`⇒36pi r^2 =4pi rh`
`⇒3r=2h`
`⇒3r=2xx10.5=21`
`r= 21/3`
`r=7`
∴ radius of cylinder `=7 cm`
volume of cylinder`=pi r^2 h`
`=22/7xx7^2xx10.5`
`=1617 cm^3`