Question

the radius and total surface area of a cylinder is 14 cm and 1936cm respectively.find it's height.​

Answer 1

Answer:

Given, radius r=14 cm, height h=8 cm

Total surface area of cylinder =2πr(h+r) sq.units

=2×  7

22

​  ×14(8+14) =2×  7 22

​ ×14×22

=1936 sq.cm.

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Answer 2

Here the radius and total surface area of the cylinder are given

Radius = 14 cm

Total surface area = 1936 cm

We have to find the height of the cylinder.

Formula of the total surface area of a cylinder:

TSA of cylinder = 2πr ( r + h )

We will put the values in the above formula in order to find the value of height

1936 = 2 × 22/7 × 14 ( 14 + h )

1936 = 2 × 22 × 2 ( 14 + h )

1936 = 88 ( 14 + h )

22 = 14 + h

h = 8

Therefore, the height of the cylinder will be 8 cm