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?

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

algebra

rearrange variables

solid geometry

cylinder

planimetry

circle
area of a shape

basic operations and concepts

ratio

Units of physical quantities

volume

Grade of the word problem

practice for 12 year olds
practice for 13 year olds

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

Right circular cone
The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone.
Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D)
Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r₁ = 6.1 cm and r₂ = 7.9 cm.
Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.
Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
Cylindrical tank
The tank has the shape of a rotating cylinder with a base diameter of d = 3.4 m and a height of 4.5 m. How many liters of water are in the tank if the tank is filled to 2/3?