What is the volume of a sphere with a radius of 1 m?

What is the volume of a sphere with a radius of 1 m?

• A. 3.14
• B. 12.57
• C. 33.52
• D. 4.19

Answer: (C)

To determine the volume of a sphere, the formula used is \( V = \frac{4}{3} \pi r^3 \), where \( r \) is the radius of the sphere. In this scenario, the radius is given as 1 meter. Substituting the value into the formula, we calculate: 1. First, find \( r^3 \): \[ 1^3 = 1 \] 2. Then, multiply by \( \pi \): \[ V = \frac{4}{3} \pi \times 1 = \frac{4}{3} \pi \] 3. The value of \( \pi \) is approximately 3.14, so: \[ V \approx \frac{4}{3} \times 3.14 \approx \frac{12.56}{3} \approx 4.19 \] Thus, the volume of a sphere with a radius of 1 meter is approximately 4.19 cubic meters. Therefore, the choice reflecting this correct volume calculation aligns with option D. This highlights how important it is to apply the formula

To determine the volume of a sphere, the formula used is ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius of the sphere. In this scenario, the radius is given as 1 meter.

Substituting the value into the formula, we calculate:

1. First, find ( r^3 ):

[

1^3 = 1

]

2. Then, multiply by ( \pi ):

[

V = \frac{4}{3} \pi \times 1 = \frac{4}{3} \pi

]

3. The value of ( \pi ) is approximately 3.14, so:

[

V \approx \frac{4}{3} \times 3.14 \approx \frac{12.56}{3} \approx 4.19

]

Thus, the volume of a sphere with a radius of 1 meter is approximately 4.19 cubic meters. Therefore, the choice reflecting this correct volume calculation aligns with option D.

This highlights how important it is to apply the formula