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The height of a right cylinder is 2.5 times its radius. If the surface area of the cylinder is 122pi cm^2 , what is the radius of the cylinder in centimeters?

 Aug 9, 2023
 #1
avatar+128398 
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Surface area  =    2 * pi * r^2  +  2pi * r * h

 

122 pi =  2 * pi * r ^2  +  2 pi * r * 2.5 r

 

122 pi = pi  r^2  ( 2 + 2 *2.5)

 

122 = r^2 ( 7 )

 

122/ 7 = r^2 

 

r =  sqrt  [  122 /  7 ] cm  ≈  4.175 cm 

 

cool cool cool

 Aug 9, 2023
edited by CPhill  Aug 10, 2023
 #2
avatar+46 
+1

its actually 4

 Aug 10, 2023

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