Volume of similar cylinders

The cylinders shown are similar.

What is the volume of the larger cylinder?

Solution:

If a cone's radius is tripled and its height is quadrupled, then which of the following statements about its volume will be true?

For a cone  
with a new 
 and  




So the new volume is 36 times greater than the old volume


:) 

A spherical storage tank holds 1200 m3 of propane. What is the radius of the tank, to the nearest tenth of a metre?

 






r is about 6.59 or 6.6m

calculate the volume of a square-based prism with a base length of 2x+1, and a height of x

If an area of a face if a cube is 40.96 metre squared. Find the volume of the cube?

Our figure is a cube, therefore all dimensions are equal and the length of any side is the root of the area: 


 

Now we find the volume using the formula: 

 

Volume is 262.14 meters cubed (I'm American:)) 


:)