PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed

Respuesta :

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

  • V cylinder = Bh
  • V cone = 1/3Bh

The ratio:

  • V cylinder / V cone = Bh ÷ 1/3Bh
  • V cylinder / V cone = 3 ÷ 1

Plugging in the value of cylinder to find the value of cone:

  • 72 ÷ x = 3 ÷ 1
  • x= 72 ÷ 3
  • x= 24 ft³

24 feet cubed is the best estimate

ACCESS MORE