To find the volume of a cylinder, we use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the base, and
- \( h \) is the height of the cylinder.
Given:
- Radius \( r = 3 \) cm
- Height \( h = 6 \) cm
Substituting in the values:
\[ V = 3.14 \times (3)^2 \times 6 \]
Calculating the square of the radius:
\[ (3)^2 = 9 \]
Now substituting that back into the equation:
\[ V = 3.14 \times 9 \times 6 \]
Calculating \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
Now substituting this value into the equation:
\[ V = 3.14 \times 54 \]
Calculating \( 3.14 \times 54 \):
\[ V = 169.56 \text{ cubic centimeters} \]
Therefore, the volume of the cylinder is 169.56 cubic centimeters.
1 answer