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What is the quantity of ice cream that can be found in a cone of radius $3.5 c m$ and height $12 c m$ ?

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153.86 c m 3

154.85 c m 3

154.86 c m 3

152.82 c m 3

answer is A.

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Detailed Solution

The shape of the ice cream is the shape of the cone. So, we have to find the volume of the cone to find the quantity. Given that the radius is

r = 3.5 c m

, the height is

h = 12 c m

, and the value of

π

3.17

.
The volume of the cone is given by,

v = 13 π r 2 h

v = 13 × 3.14 × (3.5) 2 × 12 = 3.14 × 12.25 × 4 = 153.86 c m 3

Hence, the quantity that can be found in the ice cream is

153.86 c m 3

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