Q.A right circular cone has a base radius of 20 cm and a height of 10 cm. If it is melted down, how many solid spheres of radius 2 cm can be made from it? (a) 200 (b) 100 (c) 250 (d) 125
Answer: D
Let \(x\) be the number of spheres that can be made. \[ \therefore \frac{4}{3}\pi \cdot 2^3 \cdot x = \frac{1}{3}\pi \cdot 20^2 \cdot 10 \Rightarrow 4 \cdot 8x = 400 \cdot 10 \Rightarrow x = \frac{4000}{32} = 125 \therefore \text{125 solid spheres can be made.} \]
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