michaelirlluna michaelirlluna
  • 07-04-2024
  • Mathematics
contestada

A cylinder and a cone have the same radius and height. How will you compare the volume of the cone to the volume of the cylinder

Respuesta :

Nummbee01 Nummbee01
  • 07-04-2024

Answer:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

Step-by-step explanation:

The volume of a cylinder is given by V_cylinder = π * r^2 * h, where r is the radius and h is the height.

The volume of a cone is given by V_cone = 1/3 * π * r^2 * h.

Since the cylinder and cone have the same radius and height, the terms π * r^2 * h are the same for both.

Therefore, the ratio of the cone volume to the cylinder volume is 1/3.

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