gisellefhoney1061 gisellefhoney1061
  • 20-05-2020
  • Mathematics
contestada

Find the volume of a right circular cone that has a height of 4.5 ft and a base with a

diameter of 14.2 ft. Round your answer to the nearest tenth of a cubic foot.

Respuesta :

yersanabria
yersanabria yersanabria
  • 22-05-2020

Answer:

The volume of the cone is:

  • 237.6 cubic feet.

Step-by-step explanation:

The volume of a cone is:

  • Volume of a cone = (1/3) PI * r^2 * h

Where:

r = radius.

h = height.

Since the exercise provides the diameter but not the radius, you simply have to divide the diameter in two:

  • Radius = diameter / 2
  • Radius = 14.2 ft / 2
  • Radius = 7.1 ft / 2

Now we proceed to replace in the formula:

  • Cone volume = (1/3) PI * (7.1 ft)^2 * 4.5 ft
  • Cone volume = 237.5515285 ft^3
  • Cone volume = 237.6 ft^3
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