Question

the difference between outside and inside curved surface area of the cylindercalmetallic pipe 14 centimetre long is 352 CM square if the pipe is made of 3520 CM of metal find the outer and inner radius of the pipe

Answer 1

Answer:

Step-by-step explanation:

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 

 

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