Deviation - slope angle
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.
Correct answer:

Tips for related online calculators
Do you know the volume and unit volume, and want to convert volume units?
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
You need to know the following knowledge to solve this word math problem:
- arithmetic
- square root
- solid geometry
- cone
- surface area
- planimetrics
- Pythagorean theorem
- area of a shape
- triangle
- goniometry and trigonometry
- sine
- tangent
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane.
- Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone.
- Side deviation
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.
- 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.
- Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.
- Circumference 27581
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
- Determine the surface area
Find the surface area of a cone of height 30 cm whose side makes an angle of 60° with the base plane.