Questions: Solve the following problem using the formula V = (4/3) pi r^3 where V, the volume of a sphere depends on r, its radius in centimeters. Determine the volume (in cm^3) if the radius is 0.12 meters. Note: 1 meter = 100 centimeters Round to two decimal places.

Solve the following problem using the formula V = (4/3) pi r^3 where V, the volume of a sphere depends on r, its radius in centimeters. Determine the volume (in cm^3) if the radius is 0.12 meters. Note: 1 meter = 100 centimeters Round to two decimal places.
Transcript text: Solve the following problem using the formula $\mathrm{V}=\frac{4}{3} \pi \mathrm{r}^{3}$ where V , the volume of a sphere depends on r , its radius in centimeters. Determine the volume (in $\mathrm{cm}^{3}$ ) if the radius is 0.12 meters. Note: 1 meter = 100 centimeters Round to two decimal places.
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Solution

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Solution Steps

Step 1: Convert meters to centimeters

The radius is given in meters, but the formula requires centimeters. Since 1 meter = 100 centimeters, multiply the given radius by 100: 0.12 meters * 100 cm/meter = 12 cm

Step 2: Calculate the volume

Substitute r = 12 cm into the volume formula: V = (4/3)π(12 cm)³ = (4/3)π * 1728 cm³ = 2304π cm³

Step 3: Round to two decimal places

2304π cm³ ≈ 7238.23 cm³

Final Answer:

7238.23 cm³

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