Question

The ratio of the surface areas of two similar cones is 64: 100. What is the ratio of their volumes?

Answer 1

Answer:

The ratio of the surface areas of two similar cylinders is 16:81. If the volume of the smaller cylinder is 96π in3, what is the volume of the larger cylinder?

First we need to find the scale factor from the ratio of the surface areas. If we take the square root of both numbers, we have that the ratio is 4:9. Now, cube this to find the ratio of the volumes, 43:93=64:729. Now set up a proportion to solve for the volume of the larger cylinder:

6472964VV=96πV=69,984π=1093.5π in3

Answer 2

Step-by-step explanation:

16:81 is the ratio of their volumes