the curved surface area of a cylindrical pillar is 440 metre square and its volume is 3018 m cube find the height of the pillar
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Answer:
Height of cylinder, h = 5.1 m
Step-by-step explanation:
Curved surface area of cylinder,
2πrh = 440 m²
r = 440 / 2πh ----- 1st eq.
Volume of cylinder,
πr²h = 3018 m³
r² = 3018 / πh
r = √(3018 / πh) ----- 2nd eq.
From 1st and 2nd eq.,
440 / 2πh = √(3018 / πh)
(220 / πh)² = 3018 / πh
48400 / 3018 = π²h² / πh
16.037 / 3.14 = h (π = 3.14)
h = 5.1 m
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