Answer:
The volume of the tank in cubic meters is 351.68
Step-by-step explanation:
Had homework with this problem before.
Answer:
Volume of the tank is [tex]351.68\ m^3[/tex].
Step-by-step explanation:
Given:
Diameter of Cylinder = 8 m
radius of cylinder = [tex]\frac{1}{2}\times 8 =4\ m[/tex]
Height of cylinder = 6 m
Diameter of cone = 8 m
radius of cone = [tex]\frac{1}{2}\times 8 =4\ m[/tex]
Height of the cone = 3 m
We need to find the volume of complete tank.
Solution:
First we will find the volume of cylinder.
Volume of cylinder is given by π times square of the radius times height.
framing in equation form we get;
Volume of cylinder = [tex]\pi \times 4^2 \times 6 = 301.44\ m^3[/tex]
Now we will find the volume of cone.
volume of cone is given by [tex]\frac{1}{3}[/tex] times π times square of the radius times height.
framing in equation form we get;
Volume of cone = [tex]\frac13 \times \pi \times 4^2 \times 3 = 50.24 \ m^3[/tex]
Now we can say that;
Volume of complete tank is equal sum of Volume of cylinder and Volume of cone.
framing in equation form we get;
Volume of complete tank = [tex]301.44+50.24 = 351.68\ m^3[/tex]
Hence Volume of the tank is [tex]351.68\ m^3[/tex].
