Question

the sum of height and radius of solid cylinder is 37 CM if the TSA of a cylinder is equal to 168 metres square find its volume

Answer 1

Let r and h be the radius and height of the solid cylinder respectively.

Given, r + h = 37 cm    

Total surface area of the cylinder = 1628 cm2    (Given)

∴ 2 πr (r + h) = 1628 cm2

⇒ 2 πr × 37 cm = 1628 cm2

⇒ r = 7 cm

r + h = 37 cm 

∴ 7 cm + h = 37 cm    

⇒ h = 37 cm – 7 cm = 30 cm

Volume of the cylinder = π r2h= 4620 cm3

Thus, the volume of cylinder is 4620 cm3.