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Question

A cone of height 36 cm and base radius 9 cm is reshaped into a sphere. Find the radius of the sphere formed.


A

9 cm

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B

10 cm

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C

8 cm

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D

15 cm

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Solution

The correct option is

D

9 cm



Volume of the cone = 13πr2h=13π×(9)2×36

Volume of a Sphere = 43πr3

Volume of the old solid = Volume of the new solid formed

13π×(9)2×36=43πr3

(9)2×9×4=4×r3

= r3=(9)3

radius of sphere formed = 9


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