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GRE: The volume of a cylindrical tank?
The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters? πr²h=volume of a cylinder
How do ya work this?
3 Answers
- 8 years agoFavorite Answer
Formula
Pi*radius^2*height=volume
There are two questions here. What are the dimensions of tank 1.
Pi*10cm^2*height=20000
Height =200/pi
Second tank
Pi*15cm^2*200/pi = 45000
Source(s): Hope to teach math one day - DavidK93Lv 78 years ago
The volume is directly proportional to the square of the radius. The radius increased by a factor of 1.5, so the volume will increase by a factor of 1.5 squared, or 2.25. The volume was 20,000 cm^3, so it becomes 20,000 * 2.25 = 45,000 cm^3.
