Question

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

Answer 1

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

Answer 2

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

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★ 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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