Cylinder practice problems - page 22 of 24
Number of problems found: 462
- 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. - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage.
- Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - 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. - Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height. - Cylinder Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
- 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 of 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)
- Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - 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 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? - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
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?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
