Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.