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
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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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.