If the radius of a sphere is 5 cm, what is the volume in cubic cm?

To determine 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 5 cm, we can substitute this value into the formula:

1. Calculate ( r^3 ):

[

r^3 = 5^3 = 125 \text{ cm}^3

]

2. Now substitute ( r^3 ) into the volume formula:

[

V = \frac{4}{3} \pi (125)

]

3. Using ( \pi ) approximately as 3.14 for calculation purposes:

[

V \approx \frac{4}{3} \times 3.14 \times 125

]

4. First, calculate ( \frac{4 \times 3.14 \times 125}{3} ):

[

4 \times 3.14 = 12.56

]

[

12.56 \times 125 = 1570