Posted by **...** on Friday, May 18, 2012 at 6:58pm.

A cone shaped container with its vertex at the top and its circular base on the ground is filled to 3/4 of its height with water. What fractional part of the container is filled with water?

- math -
**Reiny**, Friday, May 18, 2012 at 7:18pm
consider the unfilled part of the cone.

It will be similar to the original cone but its dimension are 1/4 of the large cone

the volumes of similar shapes are proportional to the cube of their corresponding dimensions

So the volume of the smaller unfilled cone is 1/4^3 or 1/64 of the large cone

so if the height is 3/4 filled with water, that would be 63/64 of the volume of the cone

## Answer This Question

## Related Questions

- Geometry - A cone and cylinder both have a radius of 3 inches and a height of 6 ...
- Pure Maths - A container is in the shape of a right circular cone (inverted) ...
- Calculus - A container in the form of a right circular cone of height 16 cm and ...
- math - The weight of a container completely filled with water is 2.25 kg. The ...
- math - The weight of a container completely filled with water is 2.25 kg. The ...
- math - A cylinder container has a radius 5 cm and height 10 cm filled with ...
- Calculus - A large container has the shape of a frustum of a cone with top ...
- Calculus - A large container has the shape of a frustum of a cone with top ...
- math - the base of a cylindrical juice container is a circle with diameter 20 cm...
- Calculus - A container in the form of a right circular cone (vertex down) has a...

More Related Questions