11. How much water will be contained in a cylindric
ter will be contained in a cylindrical cement tank, if the diameter of the tank is 7m and height is 6 times the radius?
Answers
Answer:
Capacity of Tank = 808.5 cubic meters
Step-by-step explanation:
The tank is in cylindrical shape.
Hence capacity of tank = volume of cylinder = πr²h
r - radius of the base
h - height of the cylinder.
Given that
Diameter of the cylinder = 7 m
Radius = r = Diameter / 2 = 7 / 2 = 3.5 m
Height = 6 times the radius = 6r = 6 * 3.5 = 21 m
Capacity of Tank = πr²h
Substituting above values we get
Volume (or Capacity of tank) = 22*3.5*3.5*21/7 = 22*3.5*3.5*3
= 808.5 cubic meters
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Given that :-
╭☞ Diameter of the tank = 7m
Radius = diameter/2
radius = 7/2m , 3.5m
╭☞ height = 6 times the radius
height = 6r
height = 6 × 3.5
height = 21m
Then according to the question:-
using formula,
Volume of cylinder = 22/7 × 3.5 × 3.5 × 21
Volume of cylinder = 22 × 3.5 × 3.5 × 3
Volume of cylinder = 808.5m³