Question 67

The volume of a right circular cone is 2464 $$cm^3$$. If the height of cone is 12 cm, then what will be the radius of its base?

Solution

Volume of right circular cone = $$\dfrac{1}{3} \pi r^2 h$$
Given, h = 12 cm and Volume = $$2464 cm^3$$
Then, $$\dfrac{1}{3} \times \dfrac{22}{7} \times r^2 \times 12 = 2464$$

=> $$r^2 = 196$$
=> r = 14 cm
Therefore, Radius of the cone = 14 cm


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