Posted by **bianca** on Monday, April 9, 2012 at 9:19pm.

Find the height of a cone with a volume of 138 cubic meters and a base area of 46 square meters

- geometry -
**Anonymous**, Tuesday, April 10, 2012 at 8:14am
V = A * h

h = V / A = 138 / 46 = 3 m

- geometry -
**Bosnian**, Tuesday, April 10, 2012 at 10:11am
Volume of a cone:

V = ( 1 / 3 ) * r ^ 2 * pi * h

r ^ 2 * pi = B

The area of the circle base

V = ( 1 / 3 ) * B * h

V = 138 m ^ 3

B = 46 m ^ 2

138 = ( 1 / 3 ) * 46 * h Multiply both sides by 3

3 * 138 = 1 * 46 * h

414 = 46 h Divide both sides by 46

414 / 46 = h

h = 414 / 46

-------------------------

Remark:

414 = 2 * 3 * 3 * 23

46 = 2 * 23

-------------------------

h = 2 * 3 * 3 * 23 / ( 2 * 23 )

h = 3 * 3

h = 9 m

## Answer this Question

## Related Questions

- geometry - Find the height of a cone with a volume of 138 cubic meters and a ...
- math - 1. find the lateral area of a right prism whose altitude measures 20 cm ...
- geometry - A cone has a volume of 36pi cubic meters. Its height is four times ...
- 9th grade geometry - Rounded to the nearest hundred cubic meters, what is the ...
- Geometry - find the radius of a sphere withh the given property. A.The number of...
- Geometry - For a given box, the height measures 4 meters. If the length of the ...
- geometry - 10. In cubic meters, how much greater is the volume of a cylinder ...
- Math (Calculus) - A tank has the shape of an inverted circular cone with a base ...
- Math (Calculus) - A tank has the shape of an inverted circular cone with a base ...
- Calculus (Help please) - A tank has the shape of an inverted circular cone with...