Two cylinders are the exact same height but have different bases. One is twice as wide as the other. How many times larger is the bigger one than the smaller one?Question 4Select one:a.4 timesb.16 timesc.8 times d.2 times
Question
Two cylinders are the exact same height but have different bases. One is twice as wide as the other. How many times larger is the bigger one than the smaller one?Question 4Select one:a.4 timesb.16 timesc.8 times d.2 times
Solution
The volume of a cylinder is calculated by the formula V=πr²h, where r is the radius and h is the height. If the height is the same for both cylinders, then the volume is directly proportional to the square of the radius.
If one cylinder is twice as wide as the other, its radius is twice as large. Squaring this factor (because the volume is proportional to the square of the radius), we find that the larger cylinder is 2² = 4 times larger than the smaller one.
So, the answer is a. 4 times.
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