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Question 114
A child reshapes a cone made up of clay of height 24 and radius 6cm into a sphere. The radius (in cm) of the sphere is
Solution
Since volume remain same while reshaping hence volume of cone = volume of sphere
or $$\pi r_{1}^{2} \frac{h}{3}=\frac{4}{3}\pi r_{2}^{3}$$ where$$ r_{1} $$radius of cone and$$ r_{2}$$ radius of sphere and h is height of cone
after putting values we will get radius of sphere as 6
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