If the radius of a sphere is 3 m, what is the volume in cubic m?

If the radius of a sphere is 3 m, what is the volume in cubic m?

• A. 0.113
• B. 1.131
• C. 11.31
• D. 113.1

Answer: (D)

To find the volume of a sphere, the formula used is: \[ V = \frac{4}{3} \pi r^3 \] where \( V \) is the volume and \( r \) is the radius of the sphere. Given that the radius \( r \) is 3 m, we can substitute this value into the formula. First, calculate \( r^3 \): \[ r^3 = 3^3 = 27 \text{ m}^3 \] Then, substitute this into the volume formula: \[ V = \frac{4}{3} \pi (27) \] Next, approximate \( \pi \) as 3.14 for calculation purposes: \[ V \approx \frac{4}{3} \times 3.14 \times 27 \] Calculating the multiplication inside gives: \[ 3.14 \times 27 = 84.78 \] Now, multiply by \( \frac{4}{3} \): \[ V \approx \frac{4 \times 84.78}{3} \approx \frac{339.12}{3} \approx 113.04 \text{ m}^3 \] Thus,

To find the volume of a sphere, the formula used is:

[ 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 3 m, we can substitute this value into the formula.

First, calculate ( r^3 ):

[ r^3 = 3^3 = 27 \text{ m}^3 ]

Then, substitute this into the volume formula:

[ V = \frac{4}{3} \pi (27) ]

Next, approximate ( \pi ) as 3.14 for calculation purposes:

[ V \approx \frac{4}{3} \times 3.14 \times 27 ]

Calculating the multiplication inside gives:

[ 3.14 \times 27 = 84.78 ]

Now, multiply by ( \frac{4}{3} ):

[ V \approx \frac{4 \times 84.78}{3} \approx \frac{339.12}{3} \approx 113.04 \text{ m}^3 ]

Thus,