Question

the total surface of a closed cylinadrical is 3872 cm if it is radius 14 cm then find its height​

Answer 1

Here is your answer.

Total surface area is given as 3872 cm^2 and radius of cylinder is 14 cm and we know that total surface area of cylinder is equal to 2πr ( h + r ) and 2πrh + 2πr^2.

3872 = 2 × 22/7 × 14 × h + 2 × 22/7 ×196

3872 = 88h + 1232

3872 - 1232 = 88h

2640 = 88 h

h = 30 cm

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Answer 2

Answer:

h = 30 cm

Step-by-step explanation:

Total surface area is given as 3872 cm^2 and radius of cylinder is 14 cm T. S. A = πr ( h + r )   Or  πrh + 2πr^2.

3872 = 2 × 22/7 × 14 × h + 2 × 22/7 ×196

3872 = 88h + 1232

3872 - 1232 = 88h

2640 = 88

h = 30 cm