The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of LaTeX: 36\pi36 π cm3 and a base with a radius of 3 cm. Group of answer choices LaTeX: h=V-\pi r^2 h = V − π r 2 h = V − π r 2 LaTeX: h=\frac{V}{\pi r^2} h = V π r 2 h = V π r 2 LaTeX: h=\frac{\pi r^2}{V} h = π r 2 V h = π r 2 V LaTeX: h=1\:cm h = 1 c m h = 1 c m LaTeX: h=8\:cm h = 8 c m h = 8 c m LaTeX: h=4\:cm

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erinna erinna · Answer 1 · 2020-09-15T02:24:54+02:00

Answer: Option B, i.e., [tex]h=\dfrac{V}{\pi r^2}[/tex]

Option C, i.e., [tex]h=4\text{ cm}[/tex].

Step-by-step explanation:

It is given that formula for the volume V of a cylinder is

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

We need to find the formula for h.

Divide both sides by [tex]\pi r^2[/tex].

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

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

Therefore, the required formula for height is [tex]h=\dfrac{V}{\pi r^2}[/tex]. Hence option B is correct.

If volume is 36π cm³ and base with a radius of 3 cm, then height of the cylinder is

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

[tex]h=\dfrac{36}{9}[/tex]

[tex]h=4\text{ cm}[/tex]

Therefore, the height of a cylinder is 4 cm. Hence option C is correct.