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

1 answer

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.