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The lateral surface area of a cylindrical tube with a height of 6 cm is 48π square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of π.

 Jun 15, 2021

Best Answer 

 #2
avatar+502 
+3

the lateral area of a cylinder is \(2πrh\)

 

so \(2\pi r\cdot 6=48\pi\) and \(r=4\)

 

so the volume is \(96\pi \)

 

CPhill got something different so i'm not sure

 Jun 15, 2021
 #1
avatar+121063 
+4

Lateral surface area =    2pi *  r * h

 

So

 

48 pi   =   2 pi  * r  *   8

 

48  =   2 *  8  *  r

 

48  = 16  r

 

r =  48  /16     =   3  cm

 

Volume     =    pi * r^2  * h  =

 

pi * 3^2  *  8  =

 

72  pi    cm^3

 

 

cool cool cool

 Jun 15, 2021
 #3
avatar+502 
+3

wait u put 8 as the height but the problem says 6

mworkhard222  Jun 15, 2021
 #4
avatar+121063 
+3

Yep...I mis-read it, MWH.....your answer is  correct  !!!!

 

 

A "Best Answer"  fer shure   !!

 

 

cool cool cool

CPhill  Jun 15, 2021
edited by CPhill  Jun 15, 2021
 #2
avatar+502 
+3
Best Answer

the lateral area of a cylinder is \(2πrh\)

 

so \(2\pi r\cdot 6=48\pi\) and \(r=4\)

 

so the volume is \(96\pi \)

 

CPhill got something different so i'm not sure

mworkhard222 Jun 15, 2021

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