Calculate the volume of a sphere that has a radius of 7 cm using 3.14 for pi and round to the nearest hundredth.(1 point)

Question

Responses

87.92 cm3
87.92 cm cubed

179.50 cm3
179.50 cm cubed

1,436.03 cm3
1,436.03 cm cubed

205.15 cm3

Answer 1

To calculate the volume \( V \) of a sphere, we use the formula:

\[ V = \frac{4}{3} \pi r^3 \]

where \( r \) is the radius.

Given that the radius \( r = 7 \) cm and we use \( \pi \approx 3.14 \):

1. Calculate \( r^3 \): \[ r^3 = 7^3 = 343 \]

2. Substitute into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 343 \]

3. Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4 \times 3.14}{3} \approx \frac{12.56}{3} \approx 4.1867 \]

4. Now multiply by \( 343 \): \[ V \approx 4.1867 \times 343 \approx 1436.03 \]

Rounding to the nearest hundredth, the volume of the sphere is approximately \( 1436.03 , \text{cm}^3 \).

The correct response is:

1,436.03 cm³