Question

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)
O 87.92 cm3
О 179.50 cm3
• 205.15 cm'
• 1, 436.03 сm3

Answer 1

To calculate the volume of a sphere, you can use the formula:

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

where \( V \) is the volume and \( r \) is the radius of the sphere.

Given that the radius \( r = 7 \, \text{cm} \) and using \( \pi \approx 3.14 \), we can substitute into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (7)^3
\]

First, calculate \( 7^3 \):

\[
7^3 = 7 \times 7 \times 7 = 343
\]

Now substitute \( 343 \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 343
\]

Calculating \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

Now multiply this by \( 343 \):

\[
V \approx 4.1867 \times 343 \approx 1436.03
\]

Thus, the volume of the sphere is approximately \( 1436.03 \, \text{cm}^3 \).

Therefore, the answer is:

**1, 436.03 cm³**