# The surface area of cone problems

#### Number of problems found: 125

- 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 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? - 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 6245

How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times

- Frustrum - volume, area

Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm. - Hard cone problem

The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - Calculate 30991

The volume of the cone is 461.58 cm³. Its diameter is 14 cm. Calculate the surface area of this cone. - Calculate 38701

Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm. - 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.

- The surface

The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Castle model

The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How many dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the weight of the roof if it is made of - Wooden bowls

Twenty wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has - Heptagonal pyramid

A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base of 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Iglu - cone tent

The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste

- Traffic cones

Forty identical traffic cones with a base diameter d = 3 dm and a height v = 6 dm should be painted on the outside with orange paint (without base). How many crowns do we pay for color? If we need 50 cm³ of paint to paint, 1m² and 1l of paint cost CZK 80? - Church roof 2

The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste? - Circumference 30781

How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Canopy

Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m²? - Identical 32493

Forty identical traffic cones with base diameter d = 36 cm and height v = 46 cm are to be painted orange on the outside (without base). How much do we pay for paint if we need 500 cm³ of paint to paint 1 m² and 1 liter of paint costs CZK 8?

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