SOLUTION: what dimensions of a tin can of volume 54 pie cm^3 should be produced if the required height is equal to the diameter of its base

Question 831408: what dimensions of a tin can of volume 54 pie cm^3 should be produced if the required height is equal to the diameter of its base
Answer by Elomeht(22) (Show Source): You can put this solution on YOUR website!
1. The volume of the can (assumed cylindrical) is given by the formula:
V = PI (r^2) h where r is the radius of the base and h is the height
2. Since the height is equal to the diameter of the base (i.e. 2r), we can modify
the formula to read:
V = PI (r^2)2r = 2PI (r^3)
3. We are told that the volume of the can is 54PI cubic centimeters, so we can put:
54PI = 2PI (r^3)
4. From the above, 27 = (r^3), so r = 3
5. The diameter of the base is therefore 6, which is the same as the height

RELATED QUESTIONS
what dimensions of a tin can volume 54(pi) cubic centimeter should be produced if it is... (answered by ewatrrr)

A tin can of radius r and height h is produced by a company. If a new tin can i produced... (answered by josgarithmetic)

What volume of food could be placed in a tin can of radius 3 cm and height 12cm? Use pie= (answered by Alan3354)

If volume of a cone is 54 pie, what are the dimensions (answered by Alan3354)

Hi. I need assistance with this geometry problem, preferably within a few hours (which is (answered by josgarithmetic)

What would be the dimensions of a steel cylinder in feet if it is to contain 2,020... (answered by josgarithmetic)

to form an open box, squares of side 4 cm are cut from each corner of a square piece of... (answered by cleomenius)

If the diameter of a cylindrical can is increased by 30 percent, by approximating what... (answered by stanbon)

If the diameter of a cylindrical can is increased by 30 percent, by approximating what... (answered by Theo)