# Cone practice problems

#### Number of problems found: 233

- An ice cream

An ice cream machine has 3 flavors - vanilla, chocolate, and strawberry. The ice cream can be served in 2 ways - in a cone or in a cup. Along with the ice cream, there are 5 options for toppings - hot fudge, caramel, nuts, cherries, and sprinkles. What is - 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 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. - 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.

- 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? - Slant height 3

The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height. - Ratio

The radii of the two cones are in the ratio of 5.7. Calculate the area ratio of cones that have the same height. - Rotating cone

The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V. - Rotating cone

Calculate the volume of a rotating cone with base radius r=8 cm and height h=18 cm.

- The diagram

The diagram shows a cone radius of 8cm and a height of 10cm. How long is the diameter of the base? - The diameter

The cone's diameter is 24 cm, and the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone? - Hard cone problem

The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - Volume of the cone

Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm - Calculate 30991

The volume of the cone is 461.58 cm³. Its diameter is 14 cm. Calculate the surface area of this cone.

- Children's 8246

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? - The volume

The volume of the rotating cone is 376.8cm³. The height of this cone is one dm. Calculate the diameter of the cone base. - Cross-sections of a cone

Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - Cone-shaped 43291

Calculate the volume and weight of a pile of cone-shaped sand with a diameter of 8m and a height of v = 4.5m, the density of sand is 1500kg/M cubic - 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.

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