Question

6cmA bakery sells hollow chocolate spheres. The larger diameter of eachsphere is 6 cm. The thickness of the chocolate of each sphere is 0.65 cm.Part A: What is the amount of chocolate in each hollow sphere? Stateyour answer to the nearest tenth of a cubic centimeter.o

Answer 1

As given by the question

There are given that the larger diameter of each sphereis 6 cm.

Now,

(A).

From the formula of volume:

`V=(4)/(3)\pi* r^3`

Then,

`\begin{gathered} V=(4)/(3)\pi* r^3 \\ V=(4)/(3)\pi*(3)^3 \\ V=(4)/(3)\pi*27 \\ V=4\pi*9 \\ V=113.097 \end{gathered}`

Now,

From the formula without thickness:

`\begin{gathered} V=(4)/(3)*\pi* r^3 \\ V=4*\pi*1.5 \\ V=18.8495 \end{gathered}`

Then,

`\begin{gathered} V=113.097-18.8495 \\ V=94.2475 \\ V=94.2cm^3 \end{gathered}`

Hence, the volume of chocolate is 94.2 cm^3.