Selvi’s house has an overhead tank in the shape of a cylinder. This is filled by pumping water
from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions
1.47 m × 1.44 m × 95cm. The overhead tank has its radius 56cm and height 95 cm.
i) What is the curved surface area of the cylinder ?
a) 33440 sq.cm b) 33400 sq.cm c) 34430 sq.cm d) 30440 sq.cm
ii) What is the volume of the cylindrical tank ?
a) 936440 cu.cm b) 936340 cu.cm c) 936320 cu.cm d) 946440 cu.cm
iii) Amount of water left in the sump after the over head tank is filled completely____
a) 1074640 cu.cm b) 1070400 cu.cm c) 1076460 cu.cm d) 1074440 cu.cm
iv) Height of the water in the sump after the over head tank is filled completely________
a) 40.76cm b) 49cm c) 50.76cm d) 48 cm
Answers
Answer:
i) a ii) c iii) a iv) c
Step-by-step explanation:
For Cuboid : l = 1.47 m = 147 cm , b = 1.44 cm = 144 cm , h = 95 cm
For cylinder : r = 56 cm and h = 95 cm
i) CSA of cylinder = 2πrh = 2 x (22/7) x 56 x 95 = 44 x 8 x 95 = 33440 cm²
ii) vol of cylindrical tank = πr²h = (22/7)x 56 x 56 x 95 = 22 x 8 x 56 x 95 = 936320 cm³
iii) Amount of water left = vol of cuboid - vol of cylinder
= lbh - 936320
=147 x 144 x 95 - 936320
= 2010960 -936320
= 1074640 cm³
iv) Ht of water in sump = Vol of water left/base area
= 1074640/(147 x 144)
= 50.76 cm