Question

so guys question for you. let's go. The volume of cylinder is 924m³ and it's curved surface area is 264m². find its radius and height.​

Answer 1

Solution -

Volume of cylinder is 924m³ .

CSA of the cylinder is 264 m² .

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Suppose that the radius of the cylinder is r and the height is h.

πr^2h = 924

2πrh = 264

Dividing these two ratios , we get :

r/2 = 7/2

So, r = 7m .

Now , 2πrh = 264

So, 44h = 264

Hence, h = 6m .

Answer - The radius and height of the cylinder are 7m and 6m respectively.

Answer 2

volume of cylinder = 924m³

⇒ πr²h = 924m³ _ _ _ _ _ _ ( 1 )

curved surface area = 264m²

⇒ 2πrh = 264m² _ _ _ _ _ ( 2 )

Divide both equation :

( πr²h )/( 2πrh ) = 924m³/264m²

⇒ r/2 = 7m/2

⇒ r/2 = 7m/2

⇒ 2r = 14m

⇒ r = 7m

radius = 7m

height = (264m² × 7)/(44 × 7m)

= 264m/44

= 6m

height = 6m