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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft. What is …
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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft. What is …
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Aug 8, 2019
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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.
What is the height of the larger cylinder?
Please show the work
Mathematics
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Vihar
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x = height of larger cylinder
The ratio of the heights can be cubed to get the ratio of the volumes
(x/5)^3 = 343/125
(x^3)/(5^3) = 343/125
(x^3)/125 = 343/125
x^3 = 343
x = (343)^(1/3)
x = 7
The height of the larger cylinder is 7 feet
GilShalit
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Aug 14, 2019
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