Q2 of 67 Page 193

The volume of a right circular cone is 1232 cm3 and its height is 24 cm. Find the slant height of the cone.

Height of cone = h = 24 cm


Volume of cone = 1232 cm3


Let r be the radius of base of cone


Volume of cone = πr2h


⇒ × × r2 × 24 = 1232


⇒ × r2 × 8 = 1232


⇒ × r2 =


⇒ × r2 = 154


⇒ r2 =


⇒ r2 = 7 × 7


⇒ r = 7


Slant height l =


⇒ l =


⇒ l =


⇒ l =


⇒ l = 25 cm


Therefore, slant height of cone = 25 cm


More from this chapter

All 67 →
13

A hollow cylinder, open at both ends has a height of 20 cm. The inner and outer diameters are 26 cm and 30 cm respectively. Find the volume of this hollow cylinder.

 1

The height of a cone is 28 cm and radius of its base is 21 cm. Find its curved surface area, total surface area and its volume.

 3

The diameter of the base of a cone is 14 m and its slant height is 25 m. Find the total surface area of the cone.

 4

Radius of the base of a cone is 14 cm and its slant height is 50 cm. Find the curved surface area and the total surface area of the cone.