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What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 3.5 cubic inches?

 Jul 29, 2019
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What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 3.5 cubic inches?

 

The lateral surface area  is given by  2pi *r * height

The volume is given by  pi * r^2 * h

 

So  we have that

 

2pi * r * h  =  3.5   ⇒    h  =   [ 3.5] / [ 2 pi *r]    (1)

pi * r^2 * h  = 3.5  (2)

 

Sub ( 1) into (2) for h     and we have that

 

pi * r^2  *  [ 3.5] / [ 2 pi * r ]  =  3.5     simplify

 

r * 3.5/2  =  3.5     multiply both sides by  [ 2] / 3.5

 

r  = 2 inches

 

 

cool cool cool

 Jul 29, 2019

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