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A cone with radius 4 units is shown below. Its volume is 50 cubic units.
Find the height of the cone.
Use 3.14 for a and round your final answer to the nearest hundredth.​

Respuesta :

bhuvna789456

Height of the cone is 3 units

Step-by-step explanation:

  • Step 1: Given radius of the cone = 4 units and volume = 50 cubic units.

Find height when volume = 1/3 πr²h

Height, h = 3V/πr² = 3 × 50/3.14 × 4²

               = 150/50.24 = 2.99 ≈ 3 units

samuelonum1

The height of the cone is approximately 2.98 units

Volume of Cone

Given Data

  • Radius = 4 units
  • Volume = 50 cubic units

We know that the expression for the volume of a cone is given as

Volume = 1/3πr^2h

Substituting our given data into the expression we have

50 = 1/3*3.142*4^2*h

making h the subject of formula we have

50 = 50.272/3*h

50 = 16.75*h

divide both sides by 16.75 to find h we have

h = 50/16.75

h = 2.98 units

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