Answered

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A cylinder and sphere have the same height. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?

Sagot :

aadamarif977

Answer:

Sa = 36 circumference per meter square

Answer:

The height is 8.83 units

Step-by-step explanation:

Recall that [tex]V_{sphere}=\frac{4}{3}\pi r^3[/tex]. Since the height of a sphere is just twice the radius, then we need to solve for r and multiply by 2 to get the height of the cylinder:

[tex]V_{sphere}=\frac{4}{3}\pi r^3[/tex]

[tex]361=\frac{4}{3}\pi r^3[/tex]

[tex]1083=4\pi r^3[/tex]

[tex]\frac{1083}{4\pi}=r^3[/tex]

[tex]\sqrt[3]{\frac{1083}{4\pi}}=r[/tex]

[tex]h=2r[/tex]

[tex]h=2\sqrt[3]{\frac{1083}{4\pi}}[/tex]

[tex]h\approx8.83[/tex]

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