Cylinder + expression of a variable from the formula - practice problems - last page
Number of problems found: 139
- Triangular 6610
The shell of the rotating cylinder is four times larger than the contents of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Revolution 81339
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Container 15093
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet
- Cylindrical 5890
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Calculating 48151
A) Calculate the speed from the path calculation formula. B) From the formula for calculating the volume of the cone, express the radius r. - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with an edge length of 5 cm.
- Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter. - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level is 0.2 meters below the tank's upper side? - Horizontal 6161
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. (only up to a height of 85 cm) - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area?
- Cylindrical 16713
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the - Cylindrical 83193
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Cylinder-shaped 81512
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? - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
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