Question

the radius and height of a cylinder are in ratio 11:7 . If the curved surface area of the cylinder is 121 square units, then find its height and radius​

Answer 1

h=5.5unit,

r=3.5unit.

Answer 2

Height and radius are 3.5 units and 5.5 units

Solution:

According to the question,

The radius and height of a cylinder are in ratio 11:7

Let the radius be 11y and height be 7y

Now,  curved surface area of the cylinder = 121 (Given )

The curved surface area of cylinder is given as $2 \pi r h$

Where "r" is the radius and "h" is the height

Plugging in values we get,

$\begin{array}{l}{2 \pi r h=121} \\\\ {2 \times 3.14 \times(11 y) \times(7 y)=121} \\\\ {483.56 y^{2}=121} \\\\ {y^{2}=121 \div 483.56}\end{array}$

$\begin{array}{l}{y^{2}=0.2502} \\\\ {y=0.50}\end{array}$

So radius = 11y = $11 \times 0.50=5.5$

Height = $7 \times 0.50=3.5$

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