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Question

# A cylindrical bucket of height 10 cm and radius 5 cm is overturned to form a conical heap of sand of radius 5 cm. Find the height of the cone.

A
40 cm
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B
10 cm
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C
30 cm
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D
20 cm
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Solution

## The correct option is C 30 cmGiven, the cylindrical bucket is overturned to form a conical heap of sand. So, volume of the cylinder = volume of cone formed Volume of cylinder =πr2h =227×52×10 =55007 cm2 Volume of cone=13πr2h ∵ Volume of cylinder = Volume of cone ⇒ 55007=13πr2h ⇒ 55007=13×227×52×h ⇒ h=30 cm Therefore, the height of the cone is 30 cm.

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