Question

The curved surface area of a cylindrical pillar is 264m2 and its volume is 924 m3.Find the diameter and height of the pillar

Answer 1

given, c.s.a = 264 meter square, volume of cylinder = 924 meter cube, 2πrh = 264 m square, 2 × 22 by 7 × r ×h= 264 m square , r × h= 264× 7 by 44, h = 264 × 7 by 44 × r, h= 1848 by 44× r, h = 42by r, now volume of cylinder = 924 meter square, π r square × h= 924 m..........

Answer 2

$\huge \underline \mathsf \red {SOLUTION:-}$

Given That:

• Curved surface area of cylinder = 264 m²
• Volume of cylinder = 924 m³

We know that,

• CSA of cylinder = 2πrh

So,

➠ 264 = 2 × 22/7 × r × h

➠ r × h = (264 × 7)/44

➠ r × h = 1848/44

➠ r × h = 42

➠ h = 42/r ……(1)

Now,

• volume of cylinder = πr²h

Substituting the value of h = 42/r in the volume equation, we get

➠ 924 = 22/7 × r² × 42/r

➠ 924r = 924 × 7

➠ r = 7 m

So,

Radius is 7 m and the diameter will be

= 7 × 2

= 14 m.

And the height of the cylinder

= h = 42/r

= 42/7

= 6 m

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