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)
Responses

87.92 cm3
87.92 cm cubed

179.50 cm3
179.50 cm cubed

205.15 cm3
205.15 cm cubed

1,436.03 cm3
1,436.03 cm cubed

Answer 1

The volume \( V \) of a sphere can be calculated using the formula:

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

where \( r \) is the radius and \( \pi \) is approximately 3.14.

Given the radius \( r = 7 \) cm, we can substitute the values into the formula:

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

First, calculate \( (7)^3 \):

\[
7^3 = 343
\]

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

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

Next, calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

Now, multiply \( 4.18667 \) by \( 343 \):

\[
V \approx 4.18667 \times 343 \approx 1436.03
\]

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

So, the correct answer is:

**1,436.03 cm³**