Volume of Cone Problems
Number of problems found: 165
- A solid
A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid. - Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. - A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - Calculate A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume.
- Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete - Triangle and Cone A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su
- Diameter - tent The cone-shaped tent is 3 meters high. The diameter of its base is 3.2 m. How many m³ (cubic meters) of air are in the tent?
- Cone surface volume
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and 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.
- 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. - Glass cocktail level
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Cone volume surface Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- 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.
- Cuboid cone volume We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters.
- Cone surface volume The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone.
- Cylinder-shaped part
A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have? - Revolutions of cylinder
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Slant surface The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm.
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