Area + cone - practice problems
Number of problems found: 149
- 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? - 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 lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum? - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain.
- 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. - Calculate A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
- 40cmx60cm 83619
The stand on which the posters are stuck has the shape of a cone. It is 2.4m tall. The side of the cone is 2.5 m long. How many 40cmx60cm posters can be stuck on the stand so they do not overlap? - 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? - 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.
- Calculate 82690 A cone of rotation 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. - Semicircle 82687 If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it.
- Cone-shaped 82466
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? - Calculate 82409 The lamp shade should be formed by the shell of a cone with a base diameter of 48 cm and a side of 32 cm. Calculate how much material will be needed to make it, assuming 8% waste
- Calculate 82073 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.
- Dimensions 81850 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.
- Calculate 81560 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?
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