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The volume of a cylinder is 500π and the radius is 5 cm. The height of the cylinder is equal to the diagonal of a square. Find the perimeter of the square.
- A40√2 cm
- B40 cm
- C10√2 cm
- D80√2 cm
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Volume of the cylinder = πr2h = 500π
⇒ Height, h = 20 cm and Radius, r = 5 cm
Let the side of the square be a cm
⇒ diagonal, d = √2a cm
Height of the cylinder is equal to the diagonal of the square
⇒ √2a = 20
⇒ a = 10√2 cm
∴ Perimeter of square = 4a = 40√2 cm
⇒ Height, h = 20 cm and Radius, r = 5 cm
Let the side of the square be a cm
⇒ diagonal, d = √2a cm
Height of the cylinder is equal to the diagonal of the square
⇒ √2a = 20
⇒ a = 10√2 cm
∴ Perimeter of square = 4a = 40√2 cm