Question

The sum of the heights and the radius of a solid cylinder is 35 cm and its total surface area is 3080 cm², find the volume of the cylinder. 

Answer 1

Let r and h be the radius and height of a solid cylinder

Then, r + h = 35 cm

Total surface area of a cylinder = 3080 cm² 

`=>` 2πr(h + r) = 3080

`=> 2 xx 22/7 xx r xx 35 = 3080` 

`=>` 2 × 22 × r × 5 = 3080

`=> r = 3080/(2 xx 22 xx 5) = 14  cm`

`=>` h = 35 – r

= 35 – 14

= 21 cm

∴ Volume of cylinder = πr²h

= `22/7 xx 14 xx 14 xx 21`

= 12936 cm³