CASE STUDY: STUDY OF FIGURES AND SHAPES
Sam a student of class 7th loves watching and playing with birds of different kinds. One day he had an idea in his mind to make a bird-bath on his garden. His brother who is studying in class 10th helped him to choose the material and shape of the birdbath. They made it in the shape of a cylinder with a hemispherical depression at one end as shown in the Figure. They opted for the height of the hollow cylinder as 1.45 m and its radius is 30 cm.
By using the above-given information, find the following:
i) The curved surface area of the hemisphere is:
a) 0.36 m2 b) 0.46 m2 c) 0.26 m2
ii) The curved surface area of the cylinder is:
a) 0.78Π m2 b) 0.87Π m2 c) 0.87Π2 m2 2
d) 0.56 m2 d) 0.87Π m2
iii) The total surface area of the bird-bath is: (Take Π = 22) 22272
a) 2.3 m b) 3.3 m c) 3.5 m d) 5.3 m
iv) The total surface area of the cylinder is given by:
a) 2Πrh + 2Πr3 b) 2Πrh + Πr2 c) 2Πrh + 2Πr2 d) Πrh + 2Πr2
v) During the conversion of a solid from one shape to another the volume of the new shape will :
a) Remain unaltered b) Decrease
c) Double d) Increase
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