SOLUTION: A cylinder has a volume of 46 cubic inches. If all the dimensions are multiplied by 2.5, what would be the volume of the new cylinder?

Question 1075606: A cylinder has a volume of 46 cubic inches. If all the dimensions are multiplied by 2.5, what would be the volume of the new cylinder?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
V (cylinder)=pi*r^2*h
If the dimensions are multiplied by 2.5, the volume will be increased by 2.5^3=15.625 and the new volume will be 718.75
Check
46=pi*r^2*h, Let r=3
46=9*pi*h
h=46/9*pi=1.63
new dimensions, r=7.5
h=4.067
V=pi*(7.5^2)*4.067=718.70 in^3. The same with rounding error. The top is more accurate, because pi was not rounded.

RELATED QUESTIONS
What are the dimensions of a cylinder with a volume of 440 cubic... (answered by Alan3354)

the volume of a cylinder is 80 cubic centimeters. if the diameter and height of the... (answered by sachi,josgarithmetic)

If the cylinder has a volume of 35cm^3 and all the dimensions are doubled what is the new (answered by richard1234)

A Cylinder has a volume of 48 cubic centimeters. What would be the new volume of the... (answered by Alan3354)

The volume of a cylinder is 24 cubic inches. If the height is doubled, what will the new... (answered by Alan3354)

A CYLINDER HAS A VOLUME OF 235.5 CUBIC INCHES. IF THE VALUE OF PI (3.14) USED TO... (answered by rapaljer)

The volume of a cylinder has been multiplied by 1377. If the height was multiplied by... (answered by ikleyn)

if a cylinder has a radius of 12 inches and a volume of 13564.8 cubic inches. what is the (answered by math problem solving)

A cone has a volume of 55 cubic inches. If a second cone is created by doubling all of... (answered by Alan3354)