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The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.
Question

The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.

A.

41\sqrt {41}​ cm

B.

√43 cm

C.

42\sqrt {42}​ cm

D.

47\sqrt {47}​ cm

Correct option is C

Given:
Volume of the right circular cone = 168π cm³
Height of the cone = 0.12 m = 12 cm (converted to cm)
Formula Used:
The formula for the volume of a cone is:
V = 13\frac 13​× π × r² × h
where,
V = Volume, r = radius, h = height, π = constant
Solution:
168π=13×π×r2×12168π=4πr2r2=1684=42r=42168\pi = \frac{1}{3} \times \pi \times r^2 \times 12 \\168\pi = 4\pi r^2 \\r^2 = \frac{168}{4} = 42 \\r = \sqrt{42}​​


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