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THE CURVED SURFACE AREA OF A …

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THE CURVED SURFACE AREA OF A RIGHT CIRCULAR CYLINDER IS 6600 CM^2 AND THE CIRCUMFERENCE OF ITS BASED IS 55CM FIND THE HEIGHT OF CYLINDER. .
  • 1 answers

Gaurav Seth 3 years, 11 months ago

Given,

area of curved surface of a right circular cylinder is =6600 cm^2...(1)

circumference of its base is =55 cm...(2)

volume of a right circular cylinder is= 1100.......(3)

curved surface of a right circular cylinder is=2πrh. ... from (1)

=6600 cm^2...(4)

where, r=radius of the base of the cylinder,

h=height of the cylinder

circumference of the base of the cylinder=2πr=55 cm..... from (2)....(5)

where, r=radius of the base of the cylinder

2π×r=2×3.14159265×r

=6.2831853×r=55

r=55÷6.28=8.75 cm {it's no need to find radius of the base of the cylinder for finding out height of the cylinder} ...(6)

from (4),

2πrh=6600

55×h=6600... from (5)

.•. h=6600÷55=125 cm

Therefore the height of the cylinder is=125 cm

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