Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The volume of a cylinder with height to radius ratio of 4:1 is 108 pie centimeters cubed. Find the radius and height of the cylinder.

Sagot :

[tex]H:r=4:1\\\\\frac{H}{r}=\frac{4}{1}\to H=4r\ (*)\\\\V=108\pi\ cm^3\\\\V=\pi r^2H\\\\substitute\ (*)\\\\\pi r^2\cdot4r=108\pi\ \ \ \ /:4\pi\\\\r^3=27\\\\r=\sqrt[3]{27}\\\\r=3\ (cm)\\\\H=4r=4\cdot3=12\ (cm)\\\\Answer:radius=3\ cm\ and\ height=12\ cm.[/tex]
deathstrike001
4:1 height to radius
let x be radius
let 4x be height

V=(pi)(r)^2h
108(pi)=(pi)x^2(4x)
divide both sides by pi
108=x^2(4x)
108=4x^3
divide both sides by 4
27=x^3
cube root both sides
x=3

therefore the radius is 3 and the height is 12
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.