# Rotation

The right triangle with legs 11 cm and 18 cm rotates around the longer leg.

Calculate the volume and surface area of the formed cone.

Calculate the volume and surface area of the formed cone.

### Correct answer:

Tips for related online calculators

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

See also our right triangle calculator.

See also our trigonometric triangle calculator.

See also our right triangle calculator.

See also our trigonometric triangle calculator.

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

**arithmetic**- square root
- square (second power, quadratic)
**solid geometry**- cone
- surface area
**planimetrics**- right triangle
- triangle
**numbers**- real numbers

#### 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:

- Perpendiculars 36213

A right triangle with perpendiculars a = 3 cm and b = 4 cm rotate around a longer perpendicular. Calculate the volume and surface area of the resulting cone. - Resulting 4446

A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body - Calculate

Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee. - RT area

A right triangle has an area of 54cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg. - Perpendiculars 17003

What is the hole volume drilled by the drill in the shape of a right triangle that revolves around a longer perpendicular? The perpendiculars of the triangle are 10 cm and 3 cm long. - Axial section

Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Perpendicular 3482

The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Calculate 6580

The rotating cone has a height of 20 cm and a radius of 18 cm. Calculate its surface. - Octagonal mat

Octagonal mat formed from a square plate with a side of 40 cm so that every corner cut the isosceles triangle with leg 3.6 cm. What is the area of one mat? - Base of prism

The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Vertical prism

The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Conical area

A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Triangular prism

The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume. - Calculate 18843

Height 9cm diameter 24cm cone - calculate its volume and surface. - Cone

Calculate the volume and surface area of the cone with a diameter of the base d=15 cm and the side of the cone with the base has angle 52°. - The cone - S,V

Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Right-angled 25091

A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6cm, longer pendant 8c