An open-topped cylindrical container has a volume of V = 3140 cm3. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container.
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Juice-soaked 17173
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There is three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked port
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter.
- Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
- 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.
- 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?
- Cylindrical 20803
The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full?
- The cylindrical container
The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting how many balls for the first time does water flow over t
- Cylindrical 16713
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface so that they were all submerged below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the d
- Cylindrical 66744
How many liters will fit in a cylindrical container with a base area of 0.06 m² and a height of 5 cm?
- The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many can full liters of water be poured maximally into the container?
- Cylindrical 37801
A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m. At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank?
- Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank?
- Cylindrical solid
Find the surface area of the cylindrical solid whose radius is 7.7 cm and height is 12 cm.
- Transporting 17193
A barrel for transporting fuel has a height of 90 cm and a radius of the base of 30 cm. How many square meters of sheet metal are needed to make a barrel?
- Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material.
- 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.
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?