SOLUTION: 1. The manufacturer of an ice cream container wants to increase the volume of the container by 25% by increasing the height. The current container is a rectangular solid with a wid

Question 975833: 1. The manufacturer of an ice cream container wants to increase the volume of the container by 25% by increasing the height. The current container is a rectangular solid with a width of 8cm, a length of 12cm, and a height of 4cm. Find (a) volume of the original container, (b) the new volume, and (c) the height of the new container.
2. 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 4centimeters and a height of 8 centimeters. Find (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.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Volume of original is 8*12*4=384 cm^3
Increase the height 25% to 5 cm will increase the volume 25%, since it is linear
8*12*5=480 cm^3, and the increase (96 cm^3)/original amount, 480 cm^3 =20%
Volume of cylinder is area of circle *height. It is 16cm^2*pi*8 cm and units will be cm^3
.
To increase the volume 15%, since it is linear with height, increase the height 15%, to 9.2 cm
Original volume is 128*pi cm^3
New volume is 147.2 pi^cm^3
The % increase is 19.2pi/128pi , and that is 15%.
I didn't use 3.14 for pi, but that may be used. Answers in pi are reasonable unless there is a specific statement saying otherwise. To the nearest hundredth "when necessary" I mean as not necessary here.
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