Question

find the volume of cylinder radius is 3cm height is 6cm

Answer 1

To find the volume \( V \) of a cylinder, you can use the formula:

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

where:
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder
- \( \pi \) is a mathematical constant approximately equal to 3.14159

Given:
- Radius \( r = 3 \) cm
- Height \( h = 6 \) cm

Plugging in the values:

\[
V = \pi (3 \, \text{cm})^2 (6 \, \text{cm})
\]

\[
V = \pi (9 \, \text{cm}^2) (6 \, \text{cm})
\]

\[
V = \pi \times 54 \, \text{cm}^3
\]

Now, approximating \( \pi \) as 3.14:

\[
V \approx 3.14 \times 54 \, \text{cm}^3
\]

\[
V \approx 169.56 \, \text{cm}^3
\]

Thus, the volume of the cylinder is approximately \( 169.56 \, \text{cm}^3 \).