A cylindrical can holds 40 milliliters. (a) if the radius of the base is doubled and the height halved, what is the new volume of the can? (b) If the radius of the base is halved and the height is tripled, what is the new volume of the can?

A cylindrical can holds 40 milliliters. (a) if the radius of the base is doubled and the height halved, what is the new volume of the can? (b) If the radius of the base is halved and the height is tripled, what is the new volume of the can?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....

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Question

A cylindrical can holds 40 milliliters.
(a) If the radius of the base is doubled and the height halved, what is the new volume of the can?
(b) If the radius of the base is halved and the height is tripled, what is the new volume of the can?

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