Cylinder practice problems
A cylinder is a three-dimensional geometric solid with two parallel circular bases connected by a curved surface. The key measurements of a cylinder include its radius (r), height (h), and the resulting surface area and volume. The volume is calculated as V = πr²h, while the total surface area is A = 2πr² + 2πrh. Cylinders are classified as right cylinders (when the axis is perpendicular to the bases) or oblique cylinders. Real-world examples include cans, pipes, drums, and pistons in engines. Students learn to solve problems involving cylindrical shapes, including optimization and composite figures.Number of problems found: 483
- The volume 7
The volume of a cylindrical can is 75.36 in³. The diameter is 4 inches. Find the height. Use 3.14 as an estimation for pi. - The height 4
The height and radius of a cylinder are 25 ft and 5 ft, respectively. What is the surface area? - The dimensions The dimensions of a rectangular piece of paper are 22 cm × 14 cm. It is rolled once across the breadth and once across the length to form right circular cylinders of biggest possible surface area. Find the difference in volumes of the two cylinders that w
- New drink
Create a new drink can that will double the volume of the original can used. The dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : O - A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one-fourth inches in height. If each mini muffin is completely wrapped in paper, how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7. - Geometric Solid
A concrete pipe is 1.0 m long. The inside and outside diameters are 60 cm and 75 cm, respectively. What is the volume of the concrete (in cubic meters) needed to make 25 pieces of pipe? - The cup
In a measuring cup set, the cup measure is 6 cm wide. The set also contains a 1-cup measure and a cup measure, both of which are similar in shape to the cup measure. Find the width of: a) 1/2 cup b) the 1 cup measure c) the 1/3 cup measure. - The radius 3 The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area.
- The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height? - The area 4 In square decimeters, how much is the area of a cylinder with a height of 2 dm and a diameter of 1 dm? "
- Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides? - A capsule
A medicine capsule is a cylinder with two hemispheres stuck to each end. Its length is 14 mm, and its diameter is 5 mm. Find its surface area. - Radius and height
Calculate the volume of the cylinder: r = 5 cm, h = 9 cm - Diameter of a cylinder
I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm. - Equilateral cylinder
A hectolitre of water will fit in an equilateral cylinder. What are its dimensions? - Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm if ρ = 8.9 g/cm³? - Cylinder radius hundredfold
The length of the radius of the rotating cylinder base is 5 m. You calculate the radius of an equally high cylinder, the volume of which is a hundredfold. - Water cylinder tank
Water tank, r = 60cm, h = 90cm. How many liters of water can fit in it? - Liquid
How much liquid does the rotary cylinder tank hold with a base diameter of 1.2m and height of 1.5m? - Height of the cylinder The cylinder volume is 150 dm cubic. The base diameter is 100 cm. What is the height of the cylinder?
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