the area of curved surface of cylinder is 4400 CM square and the circumference of its base is 110 cm find the height of the cylinder
Answers
Answered by
7
Circumference of cylinder = 110cm
2 pie r = 110
2×22/7×r = 110
r = 110×7/22 = 35m
Curved surface area of cylinder = 4400cm
2pie r h = 4400
2×22/7×35×h = 4400
220×h = 4400
h = 4400/220 = 20cm
2 pie r = 110
2×22/7×r = 110
r = 110×7/22 = 35m
Curved surface area of cylinder = 4400cm
2pie r h = 4400
2×22/7×35×h = 4400
220×h = 4400
h = 4400/220 = 20cm
Answered by
47
Given :-
- The area of curved surface of cylinder = 4400cm²
- The circumference of its base = 110cm
To Find :-
- Height of the Cylinder
Solution :-
❏ As we know that, Curved Surface Area of a Cylinder is given by 2πrh and Circumference of Circle is given by 2πr . In the question it is given that circumference of its base = 110cm Therefore :
Putting the Values :
⟾ C.S.A of Cylinder = 2πrh
⟾ 4400 = 110 × Height
⟾ 4400 / 110 = Height
⟾ 440 / 11 = Height
⟾ 40cm = Height
Thus Height of the Cyclinder is 40cm
________________
★ Additional Info :
- Volume of cylinder = πr²h
- T.S.A of cylinder = 2πrh + 2πr²
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
- Volume of cuboid = l × b × h
- C.S.A of cuboid = 2(l + b)h
- T.S.A of cuboid = 2(lb + bh + lh)
- C.S.A of cube = 4a²
- T.S.A of cube = 6a²
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Surface area of sphere = 4πr²
- Volume of hemisphere = ⅔ πr³
- C.S.A of hemisphere = 2πr²
- T.S.A of hemisphere = 3πr²
________________
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