Question

the curved surface area of the cylinder is 1760sqcm. and it's volume is 12320c.c. find its height

Answer 1

The curved surface area of a cylinder = 2πrh
⇒2πrh=1760cm²
⇒πrh=880cm²
⇒rh=880×(7/22)
⇒rh=280cm²------------(1)
Volume of a cylinder = πr²h
⇒πr²h=12320cm³
⇒r²h=12320(7/22)
⇒r²h=3920
⇒r(rh)=3920
⇒r(280)=3920
⇒r=3920/280
⇒r=14cm
Substituting r=14cm in eq(1)
(14)h=280
⇒h=280/14
⇒h=20cm
Therefore, the height of the cylinder(h)=20cm.

Answer 2

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