Question 84

If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

Solution

Radius of cylinder, $$R = 4$$ cm and height of cylinder, $$H = 8$$ cm

Let height of cone = $$h$$ cm and radius of cone, $$r = 4$$ cm

According to ques, volume of cone = volume of cylinder

=> $$\frac{1}{3} \pi r^2 h = \pi R^2 H$$

=> $$\frac{1}{3} \times (4)^2 \times h = (4)^2 \times 8$$

=> $$h = 8 \times 3 = 24$$ cm

=> Ans - (B)

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