Question

How to calculate the volume of a cylinder with a height of 10 cm and a radius of 4 cm

Answer 1

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

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant (approximately 3.14159).

Given:
- Height \( h = 10 \) cm
- Radius \( r = 4 \) cm

Now, plug in the values into the formula:

\[
V = \pi (4 \, \text{cm})^2 (10 \, \text{cm})
\]

Calculating \( (4 \, \text{cm})^2 \):

\[
(4 \, \text{cm})^2 = 16 \, \text{cm}^2
\]

Now substitute this value back into the volume formula:

\[
V = \pi (16 \, \text{cm}^2)(10 \, \text{cm}) = 160\pi \, \text{cm}^3
\]

Finally, if you want a numerical approximation, you can use \( \pi \approx 3.14 \):

\[
V \approx 160 \times 3.14 \, \text{cm}^3 \approx 502.4 \, \text{cm}^3
\]

So, the volume of the cylinder is approximately \( 502.4 \, \text{cm}^3 \).