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

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

• A. 0.523
• B. 5.232
• C. 52.32
• D. 523.2

Answer: (D)

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

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