Cone + area of a shape - practice problems - page 3 of 4
Number of problems found: 68
- Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation. - Cone-shaped 47363
We built a cone-shaped shelter with a base diameter of 4 m on the children's playground. Calculate the cone shell if the side of the cone measures 8 m - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone.
- Calculate 82073
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm. - Determine 82032
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. - Calculate 65804
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and its height of 4 cm. - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - 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.
- Calculate 82689
A cone of rotation with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume. - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone. - Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side. - 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. - Cylindrical 70024
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed?
- The funnel
The funnel has the shape of an equilateral cone. Calculate the area wetted with water if you pour 3 liters of water into the funnel. - Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - 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 - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
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