Q6 of 67 Page 190

The lateral curved surface area of a cylinder is 660 cm2 and its height is 15 cm. Find the volume of the cylinder.

Height = 15 cm


lateral curved surface area of a cylinder = 660 sq. cm


let r be the radius


lateral curved surface area of a cylinder = 2πrh


⇒ 2πrh = 660


⇒ 2 × × r × 15 = 660


⇒ 30 × r =


⇒ 30 × r = 30 × 7


⇒ r = 7 cm


Volume of cylinder = πr2h


= × 72 × 15


= 22 × 7 × 15


= 2310 cm3


Therefore, volume is 2310 cm3


More from this chapter

All 67 →
4

The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. Calculate the ratio of their curved surface areas and the ratio of their volumes.

 5

A solid cylinder has total surface area of 462 m2. Its curved surface area is one–third of its total surface area. Find the volume of the cylinder.

 7

The volume of a cylinder is 30π cm3 and the area of it base is 6π cm2. Find the height of the cylinder.

 8

The volume and curved surface area of a cylinder are 1650 cm3 and 660 cm2 respectively. Find the radius and the height of the cylinder.