# Determine 73454

The volume of the cut cone is V = 38000π cm

^{3}. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm.## Correct answer:

Tips for related online calculators

Are you looking for help with calculating roots of a quadratic equation?

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction 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.

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction 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.

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

**algebra**- quadratic equation
- equation
- system of equations
- expression of a variable from the formula
**solid geometry**- frustum
**numbers**- fractions

### Units of physical quantities:

### Grade of the word problem:

## Related math problems and questions:

- Truncated cone 5

The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3cm. What could be the possible answer for the upper radius of a truncated cone? - Similar frustums

The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Two vases

Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and the diameter of the upper base d2 = 15 cm. Which vase can - Truncated pyramid

The truncated regular quadrilateral pyramid has a volume of 74 cm^{3}, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.

- A concrete pedestal

A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - Cross-sections of a cone

Cone with base radius 16 cm and height 11 cm divided 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. - Frustum of a cone

A reservoir contains 28.54 m³ of water when complete. The diameter of the upper base is 3.5 m, while the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone.