Question
Download Solution PDFThe diameter of the base of a cylinder is 35 cm and its curved surface area is 3080 cm2. Find the volume of cylinder(in cm3).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Diameter of cylinder = 35 cm
Curved surface area = 3080 cm2
Formula used:
Radius = Diameter/2
Curved surface are of cylinder = 2πrh
Volume of cylinder = πr2h
where r = radius , h = height
Calculation:
Diameter (d) = 35 cm
⇒ Radius = d/2
⇒ 35/2
⇒Radius = 17.5
Curved surface area of cylinder = 2πrh = 3080
⇒ 2 × 22/7 × 17.5 × h = 3080
⇒ h = 28 cm
Now Volume of cylinder = πr2h
⇒ 22/7 × (17.5)2 × 28
⇒ 22 × 306.25 × 4
⇒ 26,950 cm3
∴ Volume of cylinder is 26,950 cm3.
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