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Question 63
A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to form a cone. The volume of the cone so formed is:
Solution
When a right angled triangle is revolved about its height, its base becomes radius of the cone and its height becomes height of the cone.
Here, Base of the cone = 5 cm and Height of the cone = 12 cm
Volume of the cone = $$\dfrac{1}{3} \times \pi \times 5\times 5\times 12 = 100\pi cm^3$$
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