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vazorg [7]
3 years ago
5

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral a

rea of the larger cylinder is 210π mm2.
What is the lateral area of the smaller cylinder?
Mathematics
2 answers:
labwork [276]3 years ago
8 0

Answer:

33.6π mm2

Step-by-step explanation:

answer is right on edge

earnstyle [38]3 years ago
6 0
Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
                        (x/210π) = (24π/60π)²
The value of x from the equation is, 
                                     x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm². 
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