Question 63

A right triangle contains the right angle between the sides 5 cm and 7 cm. A cone is generated by revolving about the side 5 cm. The volume of this cone 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, Height = 5 cm, Radius = 7 cm
Volume of the cone = $$\dfrac{1}{3} \times \pi \times 7 \times 7 \times 5 = \dfrac{245}{3} \pi = 81\dfrac{2}{3}\pi$$ $$cm^3$$


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