Volume of Spheres Practice

Question

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4 of 54 of 5 Items
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
write it like this example 234.54, 23.32

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 and \( r \) is the radius of the sphere.

Given that the radius \( r \) is 12 mm and using \( \pi \approx 3.14 \), we can calculate the volume as follows:

1. Calculate \( r^3 \): \[ r^3 = 12^3 = 12 \times 12 \times 12 = 1728 \]

2. Substitute \( r^3 \) into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 1728 \]

3. Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.1867 \]

4. Now multiply it by \( 1728 \): \[ V \approx 4.1867 \times 1728 \approx 7226.12 \]

Thus, the volume of the spherical chocolate truffle is approximately 7226.12 mm³.