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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)
Solution
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.
Notes
There is a printing mistake in the textbook, the base radius of the cone is 20 cm instead of 30 cm.
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