ABC26GN4946 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is
(a)$12 \pi \mathrm{cm}^{3}$
(b)$15 \pi \mathrm{cm}^{3}$
(c)$16 \pi \mathrm{cm}^{3}$
(d)$20 \pi \mathrm{cm}^{3}$
Answer
Explanation
Clearly, we have $r=3 \mathrm{cm}$ and $h=4 \mathrm{cm}$. $$\text { ∴ Volume }=\frac{1}{3} \pi r^{2} h=\left(\frac{1}{3} \times \pi \times 3^{2} \times 4\right) \mathrm{cm}^{3}=12 \pi \mathrm{cm}^{3} .$$
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