The total surface area of a cylinder is 352 cm^2.If its height is 10cm , find the diameter of the base
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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 . I hope the answer was helpful to you If it was please mark it as brainlist ❤️
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 . I hope the answer was helpful to you If it was please mark it as brainlist ❤️
AyushKeshri:
Thank you so much
it's okayy!
no problem
Actually I was trying not to substitute the value of π to avoid making the sum complicated..
But it wasted my time
-_-
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