The perimeter of the rectangle of breadth 16cm is 98cm. The area of a

1.	The perimeter of the rectangle of breadth 16cm is 98cm. The area of a rectangle and curved surface area of a cylinder is the same. The difference between the height and radius of the cylinder is 5cm. Find the volume of a cylinder.1. 1848 cubic.cm2. 1526 cubic.cm3. 1330 cubic.cm4. 1240 cubic.cm5. 1642 cubic.cm
Answer» Correct Answer - Option 1 : 1848 cubic.cm Given: ⇒ Length of rectangle = 98/2 - 16 = 33 cm ⇒ Area of rectangle = 33 × 16 = 528 sq.cm ⇒ Curved surfece area of cylinder = 528 = 2πrh ⇒ rh = 84 Then, ⇒ h - r = 5 Solving, ⇒ r = 7 cm and h = 12cm ⇒ Volume of cylinder = πr²h = 22/7 × 7 × 7 × 12 = 1848 cubic.cm ∴ Volume of cylinder = 1848 cubic.cm

The perimeter of the rectangle of breadth 16cm is 98cm. The area of a rectangle and curved surface area of a cylinder is the same. The difference between the height and radius of the cylinder is 5cm. Find the volume of a cylinder.1. 1848 cubic.cm2. 1526 cubic.cm3. 1330 cubic.cm4. 1240 cubic.cm5. 1642 cubic.cm

Answer» Correct Answer - Option 1 : 1848 cubic.cm

Given:

⇒ Length of rectangle = 98/2 - 16 = 33 cm

⇒ Area of rectangle = 33 × 16 = 528 sq.cm

⇒ Curved surfece area of cylinder = 528 = 2πrh

⇒ rh = 84

Then,

⇒ h - r = 5

Solving,

⇒ r = 7 cm and h = 12cm

⇒ Volume of cylinder = πr²h

= 22/7 × 7 × 7 × 12

= 1848 cubic.cm

∴ Volume of cylinder = 1848 cubic.cm

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