the upper part of cylindrical tank is hemisphere. if height of tank is 9m circumference of base is 44m, how many litre can the tank hold?
Answers
Answer:
SINCE circumference of the base of the cylindrical tank is 44m.
so, C =44m
then, 2πr=44m
2×22/7×r=44
44/7r=44
so,r=44×7/44
hence r=7m
radius of the base of the cylindrical tank = radius at its top=7m
Thus, the volume of the hemispherical tank is given as,
V=2/3πr³
=2/3 ×22/7× 7³
=2/3 ×22/7 ×7×7×7
= 718.7m³( approx )
Now,
height of the hemispherical part lying above the cylindrical tank,h' =7m
Height of the cylindrical
tank +h'= 9m
so, height of the cylindrical tank = 9-h'
= 9-7= 2m
So. the volume of the cylindrical tank, v= πr²h'
v = 22/7 × 7×7×2
v= 308m³
hence ,total volume of the cylindrical tank with the hemispherical portion over it = V+v
= 718.7+308 m³
= 1026.7m³
Hence ,the given tank will hold water =
( 1026.7×1000)L=1026700L
I hope it will help you , if something is found to be a mistake so sorry for this
Step-by-step explanation:
oh no