Question

The ratio of the radii of two cylinderical pillars is 3:2 and the ratio of their heights is 2:3 find the ratio of CSA


Who answers will be the brainliest....

Answer 1

Answer:

$\bf\fbox\red{ Ratio of CSA of the cylindrical pillars is 1 :1}$

Step-by-step explanation:

Let the radii of 2 cylindrical pillars be 3r & 2r respectively.

And their height be 2h & 3h respectively.

CSA of the first cylindrical pillar = 2πrh

$CSA \: of \: th e \: first \: cylindrical \: pillar = 2πrh \\ \\ = > 2 \times \pi \times 3r \times 2h$

Similarly,

CSA of the second cylindrical pillar = 2πRH

$CSA \: of \: the \: second \: cylindrical \: pillar = 2πRH \\ \\ = > 2 \times \pi \times 2r \times 3h$

__________________________

Ratio of CSA of both :-

$= \bf \huge \frac{2 \times \pi \times 3r \times 2h}{2 \times \pi \times 2r \times 3h} \\ \\ \bf \huge = \frac{3r \times 2h}{2r \times 3h} \\ \\ \bf \huge = \frac{1}{1} \\ \\ \bf \huge = 1:1$

$\bf\fbox\green{Hence Ratio of CSA of the cylindrical pillars is 1 :1}$