Cone practice problems - page 8 of 13

Number of problems found: 248

Equilateral cone
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation.
The volume
The volume of a cone is 94.2 dm³ and the base radius is 6 dm. Calculate the total surface area of the cone.
Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm.
Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
Cone projection
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
Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long.
Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units.
A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume.
Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18 cm.
Sand Pile Cone Volume
We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy?
Slant height
Find the cone's volume. The cone's slant height is 5 cm, and the radius of its base is 3 cm.
Calculate cone - S,V
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and a height of 4 cm.
Cone volume surface
Height 9 cm diameter 24 cm cone - calculate its volume and surface.
Cone Volume Surface Height
In the rotating cone = 100π S rotating cone = 90π v =? r =?
Rotating square
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body.
Calculate cone - r,h
A rotation cone with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume.
Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base.
A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone.
Cone surface volume
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm.
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)

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