samiam5856 samiam5856
  • 17-04-2021
  • Mathematics
contestada

There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?

Respuesta :

eudora eudora
  • 17-04-2021

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = [tex]\frac{9}{\pi }[/tex]

r² = 2.865

r = 1.692

r = 1.69 units

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