# 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°.

### 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:

**solid geometry**- cone
- surface area
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**goniometry and trigonometry**- cosine
- tangent

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Deviation 70744

Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Deviation 70434

Frustum has the base radii of the figures r1 and r2: r1> r2, r2 = s, and if the side deviation from the base plane is 60°. Express the surface and volume of the cone frustum using its side s. - Calculate 32281

The rotating cone has a base radius r = 226mm, and the deviation of the side from the base plane is 56 °. Calculate the height of the cone. - Rotary cone

The volume of the rotation of the cone is 472 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Consumption 69174

The tower's roof has the shape of the shell of a rotating cone with a base diameter of 4.3 m. The deviation of the side from the plane of the base is 36°. Calculate the consumption of sheet metal to cover the roof, assuming 8% for waste. - Calculate 32311

Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - Pyramid 8

Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Calculate 3019

The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone. - Calculate 28011

The volume of the cone is 9.42 cm^{3}, and its base diameter is 3 cm. Calculate 1 / height of the cone 2 / side cones 3 / cone surface - The roof

The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - ----------------- 4850

v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - The rotating

The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - Calculate 30971

Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm. - Calculate 65804

Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and its height of 4 cm. - Calculate 8326

Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Base diagonal

In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Angle of cone

The cone has a base diameter of 1.5 m. The angle at the central apex of the axial section is 86°. Calculate the volume of the cone.