Answered

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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

6cmA Bakery Sells Hollow Chocolate Spheres The Larger Diameter Of Eachsphere Is 6 Cm The Thickness Of The Chocolate Of Each Sphere Is 065 CmPart A What Is The A class=

Sagot :

As given by the question

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

Now,

(A).

From the formula of volume:

[tex]V=\frac{4}{3}\pi\times r^3[/tex]

Then,

[tex]\begin{gathered} V=\frac{4}{3}\pi\times r^3 \\ V=\frac{4}{3}\pi\times(3)^3 \\ V=\frac{4}{3}\pi\times27 \\ V=4\pi\times9 \\ V=113.097 \end{gathered}[/tex]

Now,

From the formula without thickness:

[tex]\begin{gathered} V=\frac{4}{3}\times\pi\times r^3 \\ V=4\times\pi\times1.5 \\ V=18.8495 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} V=113.097-18.8495 \\ V=94.2475 \\ V=94.2cm^3 \end{gathered}[/tex]

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

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