Question

MENSURATION:-

The Total Surface Area Of a Cylinder is 352cm2(Square).If it's height is 10cm,then find the diameter of the base. ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

8cm

Step-by-step explanation:

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