Practice | Hashtable

1. 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:

A. 12 $π$ cm³

B. 15 $π$ cm³

C. 16 $π$ cm³

D. 20 $π$ cm³

Solution:

\begin{aligned} Clearly, \\ We have r = 3 cm and h = 4 cm \\ ∴ Volume \\ = \frac{1}{3} π r^{2} h \\ = (\frac{1}{3} \times π \times 3^{2} \times 4) c m^{3} \\ = 12 π c m^{3} \end{aligned}

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