Question

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is
A. 1/3 πr³
B. 2/3 πr³
C. 3πr³
D. 9πr³

Answer 1

Given : Radius of the base of a right circular cone = 3r

Height of cone = 3r

[Given : Height is equal to the radius of the base]

Volume of cone ,V = ⅓ πr²h

V = ⅓ × π × (3r)² × 3r

V = π × 9r² × r

V = 9πr³

Hence, its volume is 9πr³.

Option (D) 9πr³ is correct.

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Answer 2

Solutions:

Volume of cone ,V = ⅓ πr²h

V = ⅓ × π × (3r)² × 3r

V = π × 9r² × r

V = 9πr³