Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
Correct answer:

Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.
You need to know the following knowledge to solve this word math problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Container
The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
- Perimeter of base
The circumference of the base of the rotating cylinder is same as its height. What is the diameter and height of this cylinder with volume 1 liter?
- Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
- Vintner
How high can vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? Keg is cylindrical with a diameter of the base 1 m and a volume 9.42 hl. Start from the premise that says that fermentation will fill the keg (the number
- Cylinder - h
The cylinder volume is 140 cm3. The base radius is 7 cm. Calculate the height of the cylinder.
- Cylindrical tank
Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
- Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter is in a ratio of 3:4 and the area of the cylinder jacket is 24 dm2.
- Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
- The cylindrical container
The container has a cylindrical shape the base diameter 0.8 meters has a content area of the base is equal to the content area of the shell. How many full liters of water can be poured maximally into the container?
- Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm2. Calculate the volume of a cylinder.
- The cylinder 2
Find the volume and the lateral area of a cylinder of height 12 inches and a base radius of 4 inches.
- The cylinder base
The cylinder with a base of 8 dm2 has a volume of 120 liters. From a cylinder filled with water, 40 liters of water was removed. At what height from the bottom /with precision to dm/ is the water level?
- Cylinder surface, volume
The area of the cylinder surface and the cylinder jacket are in the ratio 3: 5. The height of the cylinder is 5 cm shorter than the radius of the base. Calculate surface area and volume of the cylinder.
- Diameter
What is the inside diameter of the cylinder container and if half a liter of water reaches a height 15 cm?
- Right circular cone
The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base.
- Cone and the ratio
The rotational cone has a height 23 cm, and the ratio of the base surface to lateral surface is 7: 9. Calculate the surface of the base and the lateral surface.