Question

The total surface area of a cylinder is 352cm2.If its height is 10cm,then find the diameter of the base.

Answer 1

hello users ......

we have given that 
surface area of cylinder =352 cm²
height of the cylinder = 10 cm 

we have to find 
diameter of the base of cylinder =?

solution:-
we know that 
surface area of cylinder = 2πrh + 2πr²

here 
surface area of cylinder = 352 cm²

 => 2πrh + 2πr² = 352 cm²
=>  2 ×22/7× r ×10 + 2 ×22/7 ×r² =352 cm²
=>  440/7×r + 44 /7 ×r² = 352 cm²
=>  10/7 ×r  + 1/7× r² = 8
=>  10 r + r² = 56 
+=> r² +10 r - 56 = 0 

now
 by solving equation ,we get 
  = r² +14 r - 4 r - 56 = 0 

=> r (r + 14) -4 (r+ 14)

=> r - 4 = 0  ;  r +14 = 0
=> r = 4, -14 

now we have to find diameter that cannot be negative 

=> r =4 

now at last
 the diameter of the base of cylinder = 2 r = 2× 4 = 8 cm answer 

 
✵✵ hope it helps ✵✵

Answer 2

Answer:

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Step-by-step explanation:

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