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10 votes
10 votes
A scoop of ice cream has a 3 inch radius. How tall should the ice cream cone of the same radius be in order to contain all of the ice cream inside the cone?

inches

User Slater Victoroff
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2.5k points

1 Answer

24 votes
24 votes

Answer:

12cm

Explanation:

The scoop of Ice Cream is in the shape of a circular solid which is a Sphere.

For the ice cream to fit into the cone, the volume of the cone must be equal to that of the sphere.

Radius of the Sphere=3cm

Volume of a Sphere =

Volume of a Cone=

The Cone of same radius must be 12cm tall.

User Helado
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2.8k points