Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume.
Final Answer:

Tips for related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
algebrasolid geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Calculation - mesh
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer).
- Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
- Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm.
- Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. Calculate the volume and surface area of this cylinder.
- Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area.
- Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid.
- Calculate 20893
The volume of the cylinder is 193 cm³, and the radius of its base is 6.4 cm. Calculate the height and surface of the cylinder to 1 decimal place.