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In-s [12.5K]
3 years ago
12

At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

134 cubic centimeters

Step-by-step explanation:

The extended part is basically the volume of HALF A SPHERE.

First, the volume of full sphere is:

V=\frac{4}{3}\pi r^3

Hence, the half sphere volume would be:

Half \ Sphere = \frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3

We know the diameter is 8, radius is HALF OF THAT, so

Radius = 8/2 = 4

Substituting, we find (remembering to use 3.14 as pi):

\frac{2}{3}\pi r^3\\=\frac{2}{3}\pi (4)^3\\=\frac{2}{3}(3.14)(64)\\=133.97

To the nearest cubic centimeter, the answer is:

134 cubic centimeters

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