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13 votes
13 votes
A spherical chocolate covered candy hasa diameter of 8cm. 4Part of the candy is a chocolate shell thatis .5cm thick.What is the volume ofjust the chocolate shell?

User Amaranth
by
2.4k points

1 Answer

8 votes
8 votes

We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;


V_(shell)=(4)/(3)\pi(R^3-r^3)

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;


V_(shell)=(4)/(3)\pi(4^3-3.5^3)=88.5\operatorname{cm}^3

Therefore,


V_(shell)=88.5\operatorname{cm}^3

User Lenik
by
3.2k points
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