Cylinder 1 has a height of 8 and a radius of 3, and Cylinder 2 has a height of 4 and a radius of 6 so whats the volumes

1 answer

To find the volumes of the cylinders, we can use the formula for the volume of a cylinder:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

For Cylinder 1:

  • Height \( h_1 = 8 \)
  • Radius \( r_1 = 3 \)

\[ V_1 = \pi (3^2)(8) = \pi (9)(8) = 72\pi \]

For Cylinder 2:

  • Height \( h_2 = 4 \)
  • Radius \( r_2 = 6 \)

\[ V_2 = \pi (6^2)(4) = \pi (36)(4) = 144\pi \]

Summary of Volumes:

  • Volume of Cylinder 1: \( 72\pi \)
  • Volume of Cylinder 2: \( 144\pi \)

If you want the numerical approximations, you can use \( \pi \approx 3.14 \):

  • Volume of Cylinder 1: \( 72 \times 3.14 \approx 226.08 \)
  • Volume of Cylinder 2: \( 144 \times 3.14 \approx 452.16 \)