the volume and curved surface area of a cylinder are 1650 cm and 660cm respectively Find the radius and height of the cylinder
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Answered by
111
It is given that volume of a cylinder = 1650cm.
pir^2h = 1650 ---- (1)
It is given that curved surface area of cylinder = 660cm.
2pirh = 660cm. ----- (2)
On solving (1) and (2) we get
r/2 = 1650/660
r = 1650/330
r = 5cm.
Substitute r = 5 in (2), we get
2pirh = 660
2 * 22/7 * 5 * h = 660
2 * 22 * 5 * h = 660 * 7
220 * h = 4620
h = 4620/220
h = 21cm.
Therefore the radius of the cylinder = 5cm.
the height of the cylinder = 21cm.
Hope this helps!
pir^2h = 1650 ---- (1)
It is given that curved surface area of cylinder = 660cm.
2pirh = 660cm. ----- (2)
On solving (1) and (2) we get
r/2 = 1650/660
r = 1650/330
r = 5cm.
Substitute r = 5 in (2), we get
2pirh = 660
2 * 22/7 * 5 * h = 660
2 * 22 * 5 * h = 660 * 7
220 * h = 4620
h = 4620/220
h = 21cm.
Therefore the radius of the cylinder = 5cm.
the height of the cylinder = 21cm.
Hope this helps!
Answered by
54
2pirh=660
rh=330×(7/22)=105
r^2h=1650×7/22=525
r^2h÷rh=525÷105
r=5cm
h=105÷5=21cm
rh=330×(7/22)=105
r^2h=1650×7/22=525
r^2h÷rh=525÷105
r=5cm
h=105÷5=21cm
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