It the height and radius of a cylinder are equal
and its curved surface area is 308cm? Find its
height:
Answers
Answer:
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>>Volume of Cube, Cuboid and Cylinder
>>The volume of a cylinder is 308 cm ^3 .
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The volume of a cylinder is 308 cm
3
. Its height is 8 cm. Find its lateral surface area and total surface area.
Medium
Solution
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The volume of the cylinder is given as πr
2
h where r= radius of the base of the cylinder and h is
the height of the cylinder.
The volume of the cylinder is given to us as 308 sq meter
∴
7
22
×r
2
×8=308
⇒r
2
=
22×8
308×7
=12.25
∴r=3.50 m
The lateral surface area of a cylinder is given by the formula =2πrh
=2×
7
22
×3.5×8
=176m
2
The total surface area of the cylinder = Lateral Surface Area + 2πr
2
=176+2
7
22
×(3.5)
2
=176+77
=253m
2
Answer:
csa of cylinder=2pie r×h
2×22/7×h=308
h=308×7/44
h=7×7
h=49cm