Posted by **Andrea** on Tuesday, May 29, 2012 at 5:43pm.

a circular cylinder has a base with a radius of 7.5 cm. and a height of 12 cm. a rectangular prism has a square base and height of 8.0 cm. if the cylinder and the prism have equal volumes, what is the length of the base of the prism to the nearest tenth?

- geometry -
**PsyDAG**, Tuesday, May 29, 2012 at 9:36pm
The volumes are equal, so the equation below fits. Insert values and solve for L.

π*r^2*h = h*L^2

- geometry -
**Ann**, Monday, May 27, 2013 at 10:05pm
16.3 is the length of the base rounded to the nearest tenth.

3.14 x 7.5 x 7.5 x 12 = 2119.50

16.28 x 16.28 x 8 =2,120.3

## Answer this Question

## Related Questions

- math - Tommy has right rectangular prism with base length 5 and a cylinder with ...
- Math 117 - 1.) A rectangular solid and a circular cylinder have the same volume ...
- Algebra!! - 1)volume of a ctlinder: 198mm Radius base: ?? Height of cylinder: ...
- Math - The volume of a cylinder is given by formula V= pi(3.14) r^2h where r is ...
- geometry - 10. In cubic meters, how much greater is the volume of a cylinder ...
- Math - Please Check My Answer - Probably Last One! - Please help me with the ...
- math! - A cylinder is inscribed in a right circular cone of height 8 and radius...
- Calculus - A cylinder is inscribed in a right circular cone of height 5.5 and ...
- Math - A cylinder is inscribed in a right circular cone of height 8 and radius (...
- Calculus - A cylinder is inscribed in a right circular cone of height 8 and ...