A metal tank is shaped conical. Its two end diameters are 6 m and 10 m, respectively. How many liters of oil does it contain if its height is 3 meters? How many peeps of 200 liters of them?
Answers
Tank is in the shape of a cylinder with hemispheres of same radius attached to both ends.
Given : Length of the tank =6 m
Radius r=1 m is same for all shapes
Height of hemispheres = Radius (r)=1 m
∴ Height of the cylinder (h)=6−2=4 m
And radius of hemisphere =1 m
Now, volume of the tank = volume of two hemipheres + volume of a cylinder
Volume of a cylinder =πr
2
h
=π(1)
2
×4
=4π
Volume of a hemisphere =
3
2
πr
3
=
3
2
π(1)
3
=
3
2π
∴ Volume of the tank =2×
3
2π
+4π
=
3
16π
=16.75516 m
3
=16577.16 litres
Answer:
The number of peeps of 200 liters required is 770.
Step-by-step explanation:
Given, a metal tank of conical shape.
The radius of a metal tank, R = 10/2 = 5 m
Another radius of a metal tank, r = 6/2 = 3 m
The height of a metal tank, h = 3 m
Volume(V) of the metal tank of conical shape,
V = (1/3) × 22/7 × 3 × (5² + 3² + 5×3)
V = 22/7 × (25 + 9 + 15)
V = 22/7 × 49
V = 22 × 7
V = 154 m³
The volume in liters,
1 m³ = 1000 liters
So, 154 m³ = 154×1000 liters = 154000 liters
Therefore, the number(N) of peeps having a capacity of 200 liters required for 154000 liters
N = 154000/200 = 770
Hence, the number of peeps of 200 liters required is 770.
To learn more about conical shape, click on the link below:
https://brainly.in/question/35323549
To learn more about Volume, click on the link below:
https://brainly.in/question/51689285
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