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20. Volume and Surface Area of Solids
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Q9 of 94 Page 227

The volume of a cylinder of height 8 cm is 1232 cm3. Find its curved surface area and the total surface area.

It is given in the question that,

Height of the cylinder = 8cm


And,


Volume of the cylinder =


Hence,


We can find the radius as,


r =


r =


r = √49


r = 7 cm


Now,


Curved surface area of the cylinder =


=


= 252 cm2


Therefore,


The total surface area of the cylinder =


=


= 2× 22× 15


= 660 cm2


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7

The circumference of the base of a cylinder is 88 cm and its height is 60 cm. Find the volume of the cylinder and its curved surface area.

8

The lateral surface area of a cylinder of length 14 m is 220 m2. Find the volume of the cylinder.

10

The radius and height of a cylinder are in the ratio 7 : 2. If the volume of the cylinder is 8316 cm 3, find the total surface area of the cylinder.

11

The curved surface area of a cylinder is 4400 cm2 and the circumference of its base is 110 cm. Find the volume of the cylinder.

Questions · 94
20. Volume and Surface Area of Solids
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