Question

Volume of cones quick check what is the volume of a cone with a diameter of 20 cm and height of 15 cm use 3.14 for pi

Answer 1

To calculate the volume of a cone, you can use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone, and
- \( \pi \) is approximately 3.14.

Given:
- Diameter = 20 cm, so the radius \( r = \frac{20}{2} = 10 \) cm,
- Height \( h = 15 \) cm.

Now, substitute the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15
\]

Calculating step-by-step:

1. Calculate \( (10)^2 = 100 \).
2. Then multiply by \( 3.14 \):

\[
3.14 \times 100 = 314
\]

3. Now multiply by the height \( 15 \):

\[
314 \times 15 = 4710
\]

4. Finally, divide by 3:

\[
V = \frac{4710}{3} = 1570
\]

Thus, the volume of the cone is:

\[
\boxed{1570 \, \text{cm}^3}
\]