ramirezemily739 ramirezemily739
  • 14-01-2023
  • Mathematics
contestada

The volume of a cylinder is 90 cm³. If the radius is 3 cm, what is the height of the cylinder? OA. 10 cm OB. 30 cm C. 15 cm D. 5 cm 3 cm​

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tanweeleong195oxyqwp
tanweeleong195oxyqwp tanweeleong195oxyqwp
  • 14-01-2023

Answer:

3 cm

Step-by-step explanation:

Volume of a cylinder

The formula of a cylinder is given by:

[tex]\pi r^{2} h[/tex]

where r is the radius and h is the height of the cylinder.

Solution

Given information from the question:

Volume of cylinder = [tex]90cm^{3}[/tex]

Radius of cylinder = 3cm

We can derive an equation to find the height:

[tex]90=\pi 3^{2} h\\9\pi h=90\\h = \frac{90}{9\pi } \\h = 3.18cm[/tex]

Given the height is 3.18cm, we will choose the closest answer which is 3 cm.

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