the curved surface area of a cyclinder is 1320cm^2 and its volume is 2640cm^3.Find its height
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Answered by
3
Answer:
Curved surface area of a cylinder is 2πrh.
Given curved surface area of a cylinder is 1320 cm2 .
2πrh = 1320 cm2 .--------(1)
Given volume of the cylinder is 2640 cm3 ,
Volume of the cylinder is πr2h.
πr2h = 2640 --------(2)
Divide (2) by (1) we get
πr2h / 2πrh = 2640 / 1320
r / 2 = 2
r = 4 cm.
Now 2πrh = 1320
2 x (22/7) x 4 x h = 1320
h = (1320 x 7) / (44 x 4)
h = 52.5 cm.
∴ height of the cylinder = 52.5 cm.
Answered by
1
Answer:
Curved Surface Area = 1320 sq cm
Volume = 2640 cu cm
CSA of cylinder = 2πrh
=> 1320 = 2 × 22/7 × rh
=> rh = 210
=> h = 210/r ...(1)
Volume of cylinder = πr^2h
=> 2640 = 22/7 × r^2 × h
=> r^2 × h = 840
Put (1):
=> r^2 × 210/r = 840
=> r = 840/210
=> r = 7 cm
h = 210/r = 30 cm
Thus, height = 30 cm
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