The two cones are similar. find the volume of the larger cone. round your answer to the nearest hundredth. (picture below)

First we need to find the radius of the larger cone before we proceed to solve for the volume.

Since they are similar figures, we can set up a proportion and solve for the radius of the larger cone.



The radius can be simplified to 35/3

Now the formula for the volume of a cone is


Plug in what we know and what we were given and solve for volume. Also use 3.14 for pi. When questions ask for a decimal approximation they want you to use 3.14 for pi. That's something I've observed after answering thousands of questions :P



To the nearest hundreth, the volume is 2849.26 ft^3.