Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.