The volume of a cylindrical can varies jointly with its height and the square pf its radius. Supposed that the radius is 3.5cm, the height is 11.2 cm, and the volume is 430.8cm. a. Solve for the variation constant and write the variation of equation. b. What should the height of a can with the same radius be to have a volume of 461.58 cm? c. What should the radius of a can with a height of 10cm be to hold 3140cm?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The volume of a cylindrical can varies jointly with its height and the square pf its radius.
Supposed that the radius is 3.5cm, the height is 11.2 cm, and the volume is 430.8cm.
a. Solve for the variation constant and write the variation of equation.
b. What should the height of a can with the same radius be to have a volume of 461.58 cm?
c. What should the radius of a can with a height of 10cm be to hold 3140cm?
Transcribed Image Text:The volume of a cylindrical can varies jointly with its height and the square pf its radius. Supposed that the radius is 3.5cm, the height is 11.2 cm, and the volume is 430.8cm. a. Solve for the variation constant and write the variation of equation. b. What should the height of a can with the same radius be to have a volume of 461.58 cm? c. What should the radius of a can with a height of 10cm be to hold 3140cm?
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