A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to

Question

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

Options:

A . \(12\pi\) cm³

B . \(15\pi\)cm³

C . \(16\pi\) cm³

D . \(20\pi\) cm³

Answer: Option A

Clearly, we have r = 3 cm and h = 4 cm

So \(Volume,= \frac{1}{3}\pi r^{2}h = \left(\frac{1}{3}\times \pi\times3^{2}\times4\right)cm^{3} =12\pi cm^{3}.\)

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