The sum of the radius of the base and the height of a solid cylinder i

1.	The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, find its volume.
Answer» Let radius = r and Height = h The sum of the radius of the base and the height of a solid cylinder is 37 metres. ⇨ r + h = 37 m …(1) Total surface area of the cylinder = 2πr(r + h) r = 7 From (1): 7 + h = 37 h = 30 Again, Volume of the cylinder = πr² h = 22/7 x 7 x 7 x 30 = 4620 cm³

The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, find its volume.

Answer»

Let radius = r and

Height = h

The sum of the radius of the base and the height of a solid cylinder is 37 metres.

⇨ r + h = 37 m …(1)

Total surface area of the cylinder = 2πr(r + h)

r = 7

From (1): 7 + h = 37

h = 30

Again,

Volume of the cylinder = πr² h

= 22/7 x 7 x 7 x 30

= 4620 cm³