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Question

A cylindrical container of radius 6cm and height 15cm is filled with chocolate. The chocolate is to be filled into cones of height 12cm and radius 3cm having a hemispherical shape on the top. Find the number of cones that can be filled with the chocolate?
  1. 10

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Solution

The correct option is A 10

Volume of the cylinder
= πr2h=227×(6)2×15=1695.6cm3

Volume of the cone= 13πr2h=13π×(3)2×12=113.04cm3

Volume of a hemisphere = 23πr′′3=23π(3)3=56.52cm3

Volume of new shape = volume of cone + volume of hemisphere = 169.56cm3

Let the number of cones that can be filled be x.
x = volume of the cylinderTotal volume of the solid(cone+ hemisphere)

x = 1695.6169.56

x = 10

Therefore, 10 cones can be filled.


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