Question

What is the total surface area of a cylinder in which one side is opened with the radius of 7 and height of 21

Answer 1

Answer:

• TSA of cylinder = 1078 sq.units

Step-by-step explanation:

In this question, a cylinder is given whose

• Radius = 7 units
• Height = 21 units

One side of this cylinder is opened. For an instαnce let's imagine it to be a tumbler.

So the Final area of the shape becomes:

⇒ TSA of cylinder - Area of circle

⇒ 2πr (r + h) - πr²

⇒ 2πr² + 2πrh - πr²

⇒ πr² + 2πrh

⇒ πr (r + 2h)

Plug in the given values in the above expression.

Final area of cylinder = πr (r + 2h)

➥ Final area of cylinder = (22 ÷ 7) × 7 (7 + 21(2))

☞ Final area of cylinder = 22 (7 + 42)

☞ Final area of cylinder = 22 (49)

➟ Final area of cylinder = 1078 sq.unit

∴ TSA of cylinder in which one side is opened is 1078 sq.unit