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The volume of a cylinder is 90 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?
(pythagorean theorem)
Please help Ill give brainlist

The volume of a cylinder is 90 pi cm3 If the radius is 3cm what is the height of the cylinder pythagorean theorem Please help Ill give brainlist class=

Respuesta :

Answer:

A) 10 cm

Step-by-step explanation:

You don't need the Pythagorean Theorem. You can simply use the formula for the volume of a cylinder and solve for the height:

[tex]V=\pi r^2h\\\\90\pi=\pi (3)^2h\\\\90\pi=9\pi h\\\\10=h[/tex]

Therefore, the height of the cylinder is 10 cm.
  • r=3cm
  • h=?

[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]

[tex]\\ \tt\hookrightarrow 3^2\pi h=90\pi[/tex]

[tex]\\ \tt\hookrightarrow \pi h=10\pi[/tex]

[tex]\\ \tt\hookrightarrow h=10cm[/tex]

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