A cylinder has a volume of 3 200 cm³. The radius is 11 cm. What is the surface area of the cylinder?
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Answered by
1
Answer:
253m
Step-by-step explanation:
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
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