The curved surface area of a cylinder is five times the area of its ba

1.	The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.1. 2 : 32. 3 : 43. 2 : 54. 3 : 5
Answer» Correct Answer - Option 3 : 2 : 5 Given: The curved surface area of a cylinder is five times the area of its base. Concept used: The curved surface area of a cylinder = 2πrh The area of base of a cylinder = πr² Calculation: According to the question, 2πrh/πr² = 5/1 ⇒ 2h/r = 5/1 ⇒ r : h = 2 : 5 The ratio of the radius and height of the cylinder is 2 : 5.

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.1. 2 : 32. 3 : 43. 2 : 54. 3 : 5

Answer» Correct Answer - Option 3 : 2 : 5

Given:

The curved surface area of a cylinder is five times the area of its base.

Concept used:

The curved surface area of a cylinder = 2πrh

The area of base of a cylinder = πr²

Calculation:

According to the question,

2πrh/πr² = 5/1

⇒ 2h/r = 5/1

⇒ r : h = 2 : 5

The ratio of the radius and height of the cylinder is 2 : 5.

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The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.1. 2 : 32. 3 : 43. 2 : 54. 3 : 5

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