Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.
5 answers
To find 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, and \( h \) is the height of the cylinder.
To calculate the volume, you will need to know the values of the radius and the height. Please provide those measurements, and I can help you calculate the volume.
Given the radius \( r = 13 \) mm and the height \( h = 8 \) mm, we can now use the volume formula for a cylinder:
\[ V = \pi r^2 h \]
Substituting the provided values:
\[ V = \pi (13)^2 (8) \]
Calculating \( 13^2 \):
\[ 13^2 = 169 \]
Now substituting that back into the volume equation:
\[ V = \pi (169) (8) = \pi (1352) \]
Now calculating it using \( \pi \approx 3.14159 \):
\[ V \approx 3.14159 \times 1352 \approx 4241.92 \]
Rounding to the nearest hundredth, the volume of the cylinder is:
\[ \boxed{4241.92} \text{ cubic millimeters} \]
Thank you for the clarification. Given the height \( h = 13 \) mm and the radius \( r = 8 \) mm, we will use the same formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Substituting the values:
\[ V = \pi (8)^2 (13) \]
Calculating \( 8^2 \):
\[ 8^2 = 64 \]
Now substitute that back into the volume equation:
\[ V = \pi (64) (13) = \pi (832) \]
Now calculating it using \( \pi \approx 3.14159 \):
\[ V \approx 3.14159 \times 832 \approx 2618.61 \]
Rounding to the nearest hundredth, the volume of the cylinder is:
\[ \boxed{2618.61} \text{ cubic millimeters} \]
