# Cone + volume - math problems

#### Number of problems found: 85

- Frustrum - volume, area

Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm. - Frustrum - volume, area

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

Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Top-open tank

The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m^{3}, the radii of the bases are 4 m and 3 m. Find the depth of the tank. - The truncated

The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated? - Largest possible cone

It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, 7.2 cm. a) Calculate its volume. b) Calculate the waste. - The volume

The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone. - The volume

The volume of the rotating cone is 376.8cm³, the height of this cone is 1dm. Calculate the diameter of the cone base. - Truncated cone

Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm and side s = 10 cm. - The base 2

The base diameter of a right cone is 16cm and it's slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, convert to 3 significant figure. Take pi =3.14 - Hard cone problem

The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone. - The cone - S,V

Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Průměr kužele

Vypočtěte povrch a objem rotačního kužele jehož průměr je 60mm a délka strany 3.4 cm. - Iglu - cone tent

The cone-shaped tent is 3 m high, the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m^{2}of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste? b) - Wooden bowls

20 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 cm^{2}. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d - From plasticine

Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone? - Two vases

Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and with the diameter of the upper base d2 = 15 cm. Which vas - Surface of the cone

Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm^{3}. - Volume of the cone

Calculate the volume of the cone if the content of its base is 78.5 cm^{2}and the content of the shell is 219.8 cm^{2}. - Calculate

Calculate the cone's surface and volume that results from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.

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