Question

What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.

6,280
2,355
1,570
314

Answer 1

To calculate the volume \( V \) of a cone, you can use the formula:

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

Where:
- \( r \) is the radius of the base of the cone,
- \( h \) is the height of the cone.

Given that the diameter of the cone is 20 cm, the radius \( r \) would be half of that:

\[
r = \frac{20}{2} = 10 \, \text{cm}
\]

The height \( h \) is given as 15 cm.

Now, substituting these values into the volume formula:

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

Calculating \( (10)^2 \):

\[
(10)^2 = 100
\]

Now substitute this back into the equation:

\[
V = \frac{1}{3} \times 3.14 \times 100 \times 15
\]

Calculating \( 100 \times 15 \):

\[
100 \times 15 = 1500
\]

Now substitute this value:

\[
V = \frac{1}{3} \times 3.14 \times 1500
\]

Now calculate \( 3.14 \times 1500 \):

\[
3.14 \times 1500 = 4710
\]

Now divide that by 3:

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

So, the volume of the cone is \( 1570 \, \text{cm}^3 \).

The correct answer is:

**1,570**