Calculate the diameter of ga cylinder whose volume is 440 cubic inch if its height and diameter are equal.
Answers
Given : volume of gas cylinder is 440 cubic inch and height is equal to diameter
To find : Diameter of gas Cylinder
Solution:
Let say Diameter of Gas cylinder = 2R inch
then Radius of Gas cylinder = 2R/2 = R inch
Height of cylinder = Diameter of cylinder = 2R inch
Volume of cylinder = π(Radius)² * height
=> πR²(2R) = 440
=> πR³ = 220
=> R³ = 220/π
π = 22/7
=> R³ = 220/(22/7)
=> R³ = 70
=> R = ∛70
Diameter of Gas cylinder = 2R = 2∛70 = 8.24 inch
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