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The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.


Choose the correct formula.


A. h=Vπr2

B. h=Vπr2

C. h=Vr2π

D. h=Vπr2


Part B

Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.


h = __ cm

Respuesta :

calculista

Answer:

Part A) [tex]h=V/(\pi r^{2})[/tex]

Part B) [tex]h=4\ cm[/tex]

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

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

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

[tex]V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})[/tex]

Simplify

[tex]V/(\pi r^{2})=h[/tex]

Rewrite

[tex]h=V/(\pi r^{2})[/tex]

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

[tex]V=36\pi\ cm^3[/tex]

[tex]r=3\ cm[/tex]

substitute in the formula and solve for h

[tex]h=36\pi/(\pi 3^{2})[/tex]

[tex]h=4\ cm[/tex]

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