Question

Volume of Spheres Practice
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Question
How much chocolate is in a spherical chocolate truffle with a radius of 12 mm? Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
mm3
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Answer 1

To find the volume of a sphere, you can use the formula:

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

Where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius.

Given the radius \( r = 12 \) mm, you can substitute the values into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (12)^3
\]

Now calculate \( (12)^3 \):

\[
12^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728
\]

Now plug this value into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 1728
\]

Calculating \( \frac{4}{3} \times 3.14 \):

\[
\frac{4 \times 3.14}{3} = \frac{12.56}{3} \approx 4.18667
\]

Now multiply by 1728:

\[
V \approx 4.18667 \times 1728 \approx 7225.03
\]

Rounding to the nearest hundredth, the volume is:

\[
\boxed{7225.03 \text{ mm}^3}
\]