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laiz
1 month ago
5

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. S

olve 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
Mathematics
1 answer:
tester [8.8K]1 month ago
8 0

Answer:

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

Part B) h=4\ cm

Step-by-step explanation:

Part A)

We start with the formula for the cylinder's volume:

V=\pi r^{2}h

To solve for height (h), isolate h on one side.

Divide both sides by π times r squared (πr²):

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

Simplify the expression:

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

Rewrite the formula accordingly:

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

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

Given:

V=36\pi\ cm^3

r=3\ cm

Plug values into the formula and solve for h:

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

h=4\ cm

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