how much icecream is in a spherical scoop of ice cream with a radius of 3 cm? use 3.14 as an aproximation for pi. Round your answer to the nearest whole number

1 answer

To find the volume of a spherical scoop of ice cream, you can use the formula for the volume of a sphere:

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

where \( r \) is the radius of the sphere.

Given that the radius \( r \) is 3 cm, and using \( \pi \approx 3.14 \):

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

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

\[ (3)^3 = 27 \]

Now substitute this back into the volume formula:

\[ V = \frac{4}{3} \times 3.14 \times 27 \]

Now calculate \( \frac{4}{3} \times 27 \):

\[ \frac{4 \times 27}{3} = \frac{108}{3} = 36 \]

Thus, we have:

\[ V = 36 \times 3.14 \]

Now calculate \( 36 \times 3.14 \):

\[ 36 \times 3.14 = 113.04 \]

When rounding to the nearest whole number, we get:

\[ V \approx 113 \]

So, the volume of the spherical scoop of ice cream is approximately 113 cm³.