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, and \( h \) is the height of the cylinder.
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For the first cylinder:
- Height (\( h_1 \)) = 6
- Base radius (\( r_1 \)) = 1 (the diameter is 2, so radius is half of that)
The volume is: \[ V_1 = \pi (1)^2 (6) = 6\pi \]
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For the second cylinder:
- Height (\( h_2 \)) = 2
- Base radius (\( r_2 \)) = 2 (the diameter is 4, so radius is half of that)
The volume is: \[ V_2 = \pi (2)^2 (2) = 8\pi \]
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Total volume of both cylinders: \[ V_{total} = V_1 + V_2 = 6\pi + 8\pi = 14\pi \]
So the volumes of the cylinders are:
- First cylinder: \( 6\pi \)
- Second cylinder: \( 8\pi \)
- Total volume: \( 14\pi \) (approximately 43.98 cubic units using \( \pi \approx 3.14 \)).