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
Answers
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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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Solutions:
Volume of cone ,V = ⅓ πr²h
V = ⅓ × π × (3r)² × 3r
V = π × 9r² × r
V = 9πr³
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