Concept explainers
To find: surface area of cylinder B
Answer to Problem 16PPS
The surface area of cylinder is
Explanation of Solution
Given:
Calculation:
Two cylinders, cylinder A and cylinder B of heights 5 m and 15 m respectively are similar. Also, the volume of cylinder A is 75 cubic meters, and then you have to find surface area of the cylinder B.
Since, the volume of the cylinder A is given; it can be used to find the radius of the cylinder A. Volume of cylinder
Now, a pair of solids is similar only if their corresponding measures are proportional.
Thus, first write proportion comparing their radii and height as shown:
Let radius of cylinder B be x.
Now, substitute the values as given,
According to the property of the proportions, you have that if
By this property, you have that
Now, divide both sides by 5 and then simplify, you will get that
Surface area of the cylinder
Round of to the nearest tenths,
Conclusion:
Therefore, the surface area of cylinder is
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