The sum of the base radius and height of a
solid cylinder is 37 cm. If the total surface
area of the solid cylinder is 1628 cm", then
find its height only
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Step-by-step explanation:
r + h = 37
2pi r h + 2pi r^2 = 1628
=> 2pi r ( h + r) = 1628
=> 2pi r * 37 = 1628
=> pi r = 1628 /(2*37) = 814/37 = 22…(1)
=> r = 22/pi = 22*7/22 = 7 m………….(2)
=> => h = 37 - 7 = 30 m ………… (3)
Volume of Cylinder = pi r^2 h
Substituting the values by (1), (2), & (3)
=> V = 22*7*30 = 4620
Volume = 4620 cu m
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