Question

Volume of a cone is 6280 cubic cm and base radius of the cone is 20 cm. Find its perpendicular height. (π = 3.14)

Answer 1

Here,
Radius of the base of cone (r) = 20 cm
volume of a cone is 6280 cm³

Let the perpendicular height of the cone be h cm.

∴ Volume of a cone = `1/3 πr^2h`

∴ 6280 = `1/3 × 3.14 × (20)^2 × h`

∴ 6280 = `1/3 × 3.14 × 400 × h`

∴ `(6280 × 3)/(3.14 × 400) = h`

∴ `(6280 × 3)/(314 × 4)`

∴ `(20 × 3)/4`

∴ h = 15 cm

∴ The perpendicular height of the cone is 15 cm.