Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A 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 hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.