Math, asked by Anonymous, 6 months ago

the curved surface area of cylinder pillar is 264 metre square and its volume is 924 cm cube find the diameter and the height of pillar...


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Answers

Answered by MisterIncredible
22

Question : -

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

ANSWER

Given : -

The curved surface area of a cylindrical pillar is 264 m² and it's volume is 924 m³.

Required to find : -

  • Diameter of the cylinder ?
  • Height of the cylinder ?

Formula used : -

CSA of a cylinder is 2πrh

Volume of a cylinder is πr²h

Solution : -

The curved surface area of a cylindrical pillar is 264 m² and it's volume is 924 m³.

So,

We know that;

CSA of a cylinder = 2πrh

Volume of a cylinder = πr²h

This implies;

2πrh = 264 ...... (1)

Consider this as Equation-1

Similarly,

πr²h = 924 ...... (2)

Consider this as Equation-2

Now,

According to problem;

Divide Equation-2 by Equation-1

(πr²h)/(2πrh) = (924)/(264)

[ Like terms will be cancelled in both numerator and denominator ]

(r)/(2) = (924)/(264)

r = (924)/(264) x 2

r = 3.5 x 2

r = 7 meters

Hence,

  • Radius of the cylinder = 7 meters

Now,

Let's find the diameter of the cylinder

Since, we know that

Diameter = 2 x radius

Diameter of the cylinder = 2 x 7

  • Diameter of the cylinder = 14 meters

Now,

Let's find the height of the cylinder !

We know that;

CSA of the cylinder is 264 m²

This implies;

2πrh = 264

2 x (22)/(7) x 7 x h = 264

44 x h = 264

h = (264)/(44)

h = 6 meters

  • Height of the cylinder = 6 meters

Question is solved !


MisterIncredible: Thanks for the Brainliest (◍•ᴗ•◍)
Answered by fizu123
7

Answer:

Curved surface area of cylinder = 264 m²

volume of cylinder = 924 m³

We know that 

CSA of cylinder = 2πrh

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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