Question

how much ice cream is in a spherical scoop of ice cream with a radius of 5 cm? use 3.14 for pi. round to the nearest whole number.
- 78.5
- 392.5
- 314
- 15.7
- 125
- 523.3

Answer 1

To calculate the volume of a spherical scoop of ice cream with a radius of 5 cm, we can use the formula for the volume of a sphere:

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

Where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the sphere.

Plugging in the values:

\[
V = \frac{4}{3} \times 3.14 \times (5)^3
\]

First, we calculate \( (5)^3 \):

\[
5^3 = 125
\]

Now substitute that back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 125
\]

Calculating \( \frac{4}{3} \times 125 \):

\[
\frac{4 \times 125}{3} = \frac{500}{3} \approx 166.67
\]

Now multiply by \( \pi \) (3.14):

\[
V \approx 166.67 \times 3.14 \approx 523.33
\]

Rounding to the nearest whole number, we get:

\[
V \approx 523
\]

Thus, the amount of ice cream in a spherical scoop with a radius of 5 cm is approximately **523.3**, which rounds to **523**.

So, the correct choice from the provided options is **523.3**.