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A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. Calculate the entire volume of the rocket if the radius of the base is 2 inches, the height of the cone tip is 4 inches, and the height of the entire rocket is 12 inches.

Respuesta :

The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.

What is the volume of the entire rocket?

The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

  • π = 3.14
  • r = radius 2
  • h= height = 12 - 4 = 8 inches

3.14 x 2² x 8 = 100.48 in³

Volume of the cone = 1/3 πr²h

1/3 x 2² x 3.14 x 4 = 16.75 in³

Volume of the rocket = 100.48 + 16.75 = 117.23 in³

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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