"Question 6 Curved surface area of a right circular cylinder is 4.4 m^2 . If the radius of the base of the cylinder is 0.7 m, find its height.
Class 9 - Math - Surface Areas and Volumes Page 217"
Answers
Solution- Let r be the radius if the base and h be the height of the cylinder.Then.
Curved surface area=4.4m square
2πrh =4.4
=2×22/7×0.7×h=4.4
=h=[4.4×7/2×22×0.7)m
=1m
Thus, the height of the cylinder is 1 metre.
Help it helps..
Right Circular cylinder:
Right circular cylinder is generated by revolution of a rectangular sheet about one of its side so the area of a rectangular sheet gives us the curved surface area of the cylinder and length of the rectangular sheet is equal to the circumference of the circular base.
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Let the height of the circular cylinder be h.
Given:
Radius of the base of cylinder(r) = 0.7 m
Curved surface area of a right circular cylinder = 2πrh
Curved surface area of a right circular cylinder = 4.4m² (given)
2πrh = 4.4m²
2×22/7×0.7×h= 4.4
h=4.4/4.4=1m
h = 1 m
Hence, the height of the right Circular cylinder is 1 m.
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Hope this will help you....