# The truncated

The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?

## Correct answer:

Tips for related online calculators

Check out our ratio calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

See also our trigonometric triangle calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

See also our trigonometric triangle calculator.

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

**geometry**- similarity of triangles
**algebra**- equation
- expression of a variable from the formula
**solid geometry**- cone
- frustum
**planimetrics**- triangle
**basic functions**- ratio

### Units of physical quantities:

### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Frustrum - volume, area

Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm. - The surface

The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Top-open tank

The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m^{3}, and the radii of the bases are 4 m and 3 m. Find the depth of the tank. - Calculate 38701

Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm.

- Truncated cone

Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r_{1}= 9.1 cm and r_{2}= 5.4 cm. - Truncated cone

A truncated cone has bases with radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume. - Cylinder-shaped 81512

A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have?