Question

the radius of the base and the height of the solid right cylinder are in the ratio 2:3 and its volume is 1617cm³ find the total surface area of the cylinder (take π=22/7) (ans770)​

Answer 1

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☆GIVEN

A cylinder where h and r are in the ratio off f 3:2

volume:-1617cm³

To find:-TSA

Let the height and radius of cylinder in ratio be X

Thn

, r=2x

h=3x

$\fbox\color{</strong><strong>red</strong><strong>}{</strong><strong>V</strong><strong>\</strong><strong>:</strong><strong>OF</strong><strong>\</strong><strong>:</strong><strong>CYL</strong><strong>:</strong><strong>-πr</strong><strong>2</strong><strong>h</strong><strong>}$

According to the question

πr²h=1617

=>22/7× 2x × 2x × 3x=1617

=>x=7/2cm

For calculation u see the attachment

Now,

r=2x=2×7/2=7cm

h=3x=3×7/2=21/2cm

we have 2 find TSA

$\fbox\color{red}{TSA\:OF\:CYL:-πr(r+2h)}$

Now Tsa will be

πr(r+2h)

puttIng value of r and h we get

TSA =616cm²

(For calculation see the given attachment)

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