Sunday, July 18, 2010

How to find the volume, new volume, and height of a cylinder?

A soup manufacturer wants to increase the volume of its container by 15% by increasing the height. The current container is a cylinder with a radius of 4 centimeters and a height of 8 centimeters. Find the (a) volume of the original container, (b) the volume of the new container, and (c) the height of the new container. Round the answers to the nearest hundredth, when necessary
the volume of a cylinder is: V= Pi * r^2 * h where r is radius and h is height

so original one: V1 = Pi * 16 * 8 = 401.92 cm^3

and increased one: V2 = 115% * V1 = 462.21

so V2= Pi* 16 * h2 = 462.21 so h2= 9.2
a) volume original= pi r^2 h = (8^2)*4 *pi

b) volume new= volume original + (volume original*15/100)

c) since radius is constant, volume original/volume new = height original/height new%0D%0A

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