Question

paper water cups in the shape of a cone have a radius of 7 cm and a height of 12 CM cups come in packs of 12 what volume of water will a pack of 12 cup holder

Answer 1

To find the total volume of water that a pack of 12 conical paper cups can hold, we first need to calculate the volume of a single cone and then multiply that by 12.

The formula for the volume \( V \) of a cone is:

\[
V = \frac{1}{3} \pi r^2 h
\]

where:
- \( r \) is the radius of the cone,
- \( h \) is the height of the cone,
- \( \pi \) is approximately \( 3.14159 \).

Given:
- Radius \( r = 7 \) cm,
- Height \( h = 12 \) cm.

Now, substituting the values into the volume formula:

\[
V = \frac{1}{3} \pi (7^2) (12)
\]
\[
V = \frac{1}{3} \pi (49) (12)
\]
\[
V = \frac{1}{3} \pi (588)
\]
\[
V = 196 \pi \text{ cm}^3
\]

Using the approximation \( \pi \approx 3.14 \):

\[
V \approx 196 \times 3.14 \approx 615.44 \text{ cm}^3
\]

Now that we have the volume of one cup, we can calculate the total volume for 12 cups:

\[
\text{Total Volume} = 12 \times V
\]
\[
\text{Total Volume} \approx 12 \times 615.44 \text{ cm}^3 \approx 7385.28 \text{ cm}^3
\]

Thus, a pack of 12 cone-shaped paper cups can hold approximately **7385.28 cm³** of water.