Concept explainers
To find the radius and height of both the cones.
Answer to Problem 24PPS
Smaller cone:
Explanation of Solution
Given:
Two similar cones having volumes
The height of each cone is
Concept used:
If the two
Formula used:
Volume of a cone
Volume of a cylinder
Calculation:
Let
Using the volume of the cone to find the value of
[Dividing both sides by
So, the radius of the smaller cone is
Since the two cones are similar, the ratio of the volumes of the larger and smaller cones equals the cube of the ratio of the radii of the two cones.
Therefore, the radius of the larger cone is
Conclusion:
Therefore, smaller cone:
Chapter 12 Solutions
Geometry, Student Edition
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