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A cone with a radius of 4 feet. Its approximate volume is 165 cubic feet. What is the height of the cone in feet? Round your answer to the nearest hundredth. πr^2H/3=√

A cone with a radius of 4 feet Its approximate volume is 165 cubic feet What is the height of the cone in feet Round your answer to the nearest hundredth πr2H3 class=

Respuesta :

daliav70
3.14(16)(h)/3=165
  x3                     x3
3.14(16)(h)=495
/3.14                 /3.14
16(h)=157.6433121
/16               /16

H=9.85
Lanuel

The height of this cone to the nearest hundredth is equal to 9.85 feet.

Given the following data:

  • Volume = 165 cubic feet.
  • Radius = 4 feet.

How to calculate the height of a cone?

Mathematically, the volume of a cone is given by this formula:

V = πr²h/3

Where:

  • h is the height.
  • r is the radius.

Making h the subject of formula, we have:

h =3V/(πr²)

Substituting the given parameters into the formula, we have;

h = (3 × 165)\(3.142 × 4²)

h = 495/50.272

Height, h = 9.85 feet.

Read more on height of a cone here: brainly.com/question/21367171

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