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?

Question

asked May 24, 2023 126k views

1 Answer

Hokkyokusei · Answer 1 · 2023-05-28T01:57:41+0000

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,

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