# Cross-sections of a cone

Cone with base radius 16 cm and height 11 cm divide by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts.

Determine the volume ratio of the maximum and minimum of the resulting body.

Determine the volume ratio of the maximum and minimum of the resulting body.

### Correct answer:

Tips to related online calculators

Check out our ratio calculator.

Tip: Our volume units converter will help you with the conversion of volume units.

Tip: Our volume units converter will help you with the conversion of volume units.

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Cutting cone

A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm. - Cone

Into rotating cone with dimensions r = 8 cm and h = 8 cm incribe cylinder with maximum volume so that the cylinder axis is perpendicular to the axis of the cone. Determine the dimensions of the cylinder. - Sphere in cone

A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Right circular cone

The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. - Volume of cone

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm. - Cylinder melted into cuboid

A circular cylinder has area of cross section 56cm^{2}and the height is 10cm the cylinder is melted and made into a cuboid of base area 16cm^{2}. What is the height of the cuboid? - The base 2

The base diameter of a right cone is 16cm and it's slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, convert to 3 significant figure. Take pie =3.14 - Maximum of volume

The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - The cone

The cone with a base radius of 12 cm and a height of 20 cm was truncated at a distance of 6 cm from the base, thus creating a truncated cone. Find the radius of the base of the truncated cone. - Cone

Circular cone of height 15 cm and volume 5699 cm^{3}is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Rotary cone

Rotary cone whose height is equal to the circumference of the base, has a volume 229 cm^{3}. Calculate the radius of the base circle and height of the cone. - Volume and surface area

Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm. - Rotating cone

Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm. - 2x cone

Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone. - Cone

Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane, if solids have the same volume. - The diagram 2

The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5 cm^{2}. Calculate correct to 3 significant figures: *Base Radius *Height *Volume of the cone - Triangular prism

Calculate the volume and surface of the triangular prism ABCDEF with base of a isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm.