Math, asked by saroja87, 1 year ago

if the curved surface area and volume of cylinder are 1980 cm square and 10395 cm cube respectively,then what is the radius of the cylinder

Answers

Answered by krish22092003
0

Answer:

GIVEN:-  Curved surface area of the cylinder =1980 cm²

               Volume of the cylinder= 10395 cm²

TO FIND:-  Radius of the cylinder

SOLUTION:-

pier²h=10395----------(1)

2 pie r h=1980-------------(2)

Dividing (1) and (2),we get

r/2=5.25

Therefore, r=10.5


therefore, radius of the cylinder= 10.5 cm


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Answered by amansharma264
0

EXPLANATION.

Curved surface area of cylinder = 1980 cm².

Volume of cylinder = 10395 cm³.

As we know that,

Formula of :

Volume of cylinder = πr²h.

Curved surface area of cylinder = 2πrh.

Total surface area of cylinder = 2πr(r + h).

Using this formula in this question, we get.

Curved surface area of cylinder = 1980 cm².

⇒ 2πrh = 1980.

⇒ πrh = 990. - - - - - (1).

Volume of cylinder = 10395 cm³.

⇒ πr²h = 10395.

⇒ πrrh = 10395.

Put the value of equation (1) in this expression, we get.

⇒ πrh x r = 10395.

⇒ 990r = 10395.

⇒ r = 10.5 cm.

Radius of cylinder is 10.5 cm.

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