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The radius and heiht of a cylinder are in ratio 5 is to 7 and its volume is 550 cm cube find its radius?
Wiki User
∙ 14y ago
Designate the radius by r and the height by h. For any cylinder, volume = 2 X pi X r X h. From the problem statement, h = 7/5 r. Substituting this into the general volume equation yields 2 X pi X r X (7/5)r = volume (stated to be 550 cm3). Multiplying by 5 and collecting like terms yields 2 X pi X 7 r2 = 2750; r2 = 2750/[(2)(pi)(7)] = about 62.526; r = about 7. 9 cm.
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∙ 14y ago
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