Hi friends, In a right circular cone, the height is 3 times the radius of the ba...

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September 2021 2 59 Report

Hi friends,

In a right circular cone, the height is 3 times the radius of the base. If it's volume is 134.75cm^3, find
(A) the area of the base
(B) the curved surface area.

2028hacker Let the radius be x cm.
Then height = 3x cm.
Volume of cone = 1/3 $pi$ r^2 h
1/3 *22/7 * x^2 * 3x = 134.75

x^3 = 42.875
x = 3.5
Radius = 3.5cm
Height = 10.5 cm

Area of base = $\pi$ r^2
= 22/7 * (3.5)^2
=38.5 sq. cm.
l = $sqrt (h^2 + r^2)$
= 11.06 (approx.)
C.S.A. = $\pi$ r l
= 22/7 * 3.5 * 11.06
= 121.66 sq.cm.

Ankit02 thx a lot

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