If the perimeter of a square is 256 cm and the ratio between the radiu

1.	If the perimeter of a square is 256 cm and the ratio between the radius and height of the cylinder is 2 : 5 if the radius of the cylinder is 12.5% of the side of the square then find the volume of the cylinder? 1. 4022.85 cm32. 4002.85 cm33. 4020.85 cm34. 4120.85 cm35. None of these
Answer» Correct Answer - Option 1 : 4022.85 cm³ GIVEN: Perimeter of Square = 256 cm Ratio of Radius to height = 2x : 5x Radius of cylinder = 12.5% of side of the square. FORMULA USED: 1) Side of square = perimeter of square/4 2) Volume of cylinder = πr²h cm³ VALUES USED: ⇒ 12.5% = 1/8 CALCULATION: ⇒ Side of square = 256/4 = 64 cm ⇒ Radius of cylinder = 12.5% of side ⇒ Radius of cylinder = 12.5% of 64 = 8 cm ⇒ Ratio of Radius to height = 2x : 5x ⇒ 2x = 8 cm ⇒ 5x = 20 cm ⇒ Volume of cylinder = 4022.85 cm³

If the perimeter of a square is 256 cm and the ratio between the radius and height of the cylinder is 2 : 5 if the radius of the cylinder is 12.5% of the side of the square then find the volume of the cylinder? 1. 4022.85 cm32. 4002.85 cm33. 4020.85 cm34. 4120.85 cm35. None of these

Answer» Correct Answer - Option 1 : 4022.85 cm³

GIVEN:

Perimeter of Square = 256 cm

Ratio of Radius to height = 2x : 5x

Radius of cylinder = 12.5% of side of the square.

FORMULA USED:

1) Side of square = perimeter of square/4

2) Volume of cylinder = πr²h cm³

VALUES USED:

⇒ 12.5% = 1/8

CALCULATION:

⇒ Side of square = 256/4 = 64 cm

⇒ Radius of cylinder = 12.5% of side

⇒ Radius of cylinder = 12.5% of 64 = 8 cm

⇒ Ratio of Radius to height = 2x : 5x

⇒ 2x = 8 cm

⇒ 5x = 20 cm

⇒ Volume of cylinder = 4022.85 cm³

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