Cone practice problems - page 6 of 13

Number of problems found: 245

Axial cut
The cone surface is 388.84 cm², and the axial cut is an equilateral triangle. Find the cone volume.
The rotation cone
The rotation cone with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume.
Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays.
The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof?
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 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm.
Calculate 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm.
Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.
Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm.
Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.
Rotating 28001
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V.
Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm.
Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume.
Surface 19383 cone
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface?
Projection 3493
In axonometry, construct a projection of an oblique circular cone with a base in a plane. The stop triangle gives dimension. We know the center of the base S, the radius of the base ra the top of the cone V, Triangle (6,7,6), S (2,0,4), V (-2,7,6), r = 3
The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
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.
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.
Perpendiculars 36213
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.

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