Posted by **priya** on Monday, February 21, 2011 at 9:06pm.

A cylinder has a diameter of 80 cm and a length of 45 cm. Another cylinder has the same volume but is 80cm long. What is the diameter of the longer cylinder?

- math -
**MathMate**, Monday, February 21, 2011 at 9:17pm
Volume of cylinder

= πr²h

= π(80/2)²*45

= 72000π

Volume of the other cylinder = 72000π

= π(diameter/2)²*80

Solve for diameter in

72000π = π (diameter/2)²*80

I get diameter=60.

- math -
**Bosnian**, Tuesday, February 22, 2011 at 12:05am
V=([d^2*pi)/4] *L

[(80^2*pi)/4]*45=[(d^2*pi)/4]*(45+80)

Multipy both sides of this equation with(4/pi)

(80^2)*45=d^2*(45+80)

6400*45=d^2*125

288000=d^2*125

Divide both sides with 125

288000/125=d^2

2304=d^2

d=sqroot(2304)

d=48 cm

- math -
**manpreet**, Thursday, January 16, 2014 at 9:46am
don't known

## Answer this Question

## Related Questions

- geometry - The diameter and height of this cylinder are equal to the side ...
- Chemistry - A graduated cylinder contains 56.3ml of water. A metal cylinder is ...
- MATHS MONGU COLLEGE - A cylinder whose volume is 386,000m3 has it's length 1.3 ...
- Physics - The cubit is an ancient unit of length based on the distance between ...
- maths - two cylinders have identical bases with differnt lengths.the length of ...
- chemistry - Titanium is used in airplane bodies because it is strong and light. ...
- Physics E&M - A 68.0 g hollow copper cylinder is 90.0 cm long and has an inner ...
- physics - Problem: A long cylinder of diameter 2a has a charge per unit length, ...
- Math 117 - 1.) A rectangular solid and a circular cylinder have the same volume ...
- Geometry - a cone full of water has been poured intoa cylinder. what is the ...