RK Agrawal is designing a propylene tank in the shape of a cylinder with hemispherical ends. If the length of the cylinder is to be 20 unit larger than its radius and the volume is to be 33217 cubic unit,then what is the radius?
Answers
Answer:
Given, Common diameter =2 m
Radius =1 m
Total length of tank =8 m
Length of cylinder =h=8−2(1)=6 m
Surface area of the tank
= Surface area of two hemispheres + lateral surface area of the cylinder
=2×2πr
2
+2πrh
=2πr(2r+h)
=2×3.14×1(2×1+6)
=50.26 m
2
Cost of painting =50.26×60=Rs. 3015.92
∴ Cost of painting the tank is Rs. 3015.92
Answer:
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