A cylindrical tank has a capacity of 5632m3 . If the diameter of the base is 16cm, find its depth?
Answers
Answer:
Depth of tank = 280000 m
Step-by-step explanation:
Given---> Capacity of tank = 5632 m³
Diameter of the base = 16 cm
To find---> Find depth of tank
Solution---> ATQ,
Diameter of the base = 16 cm
Radius of the base = diameter of base / 2
= 16 / 2
= 8 cm
We change radius of base in meter , for this we divide radius of base by 100
So , radius of base = 8 / 100 m
Let depth of cylindrical tank be h meter
ATQ, Capacity of cylinder = 5632 m³
Capacity of cylindrical tank means how much liquid tank can hold or contain, so capacity means volume of cylindrical tank.
So volume of cylindrical tank = 5632 m³
Now we know that ,
volume of cylinder = π r² h
Volume of cylindrical tank = 5632
=> π r² h = 5632
=> 22/7 ( 8 / 100 )² h = 5632
=> 22/7 ( 64 / 10000 ) h = 5632
=> h = ( 5632 × 7 × 10000 ) / ( 22 × 64 )
=> h = 280000 m
Depth of cylindrical tank = 280000 m
Additional information--->
1) Curved surface area of cylinder = 2 π r h
2) Total surface area = 2 π r ( r + h )
#Answerwithquality & #BAL
Step-by-step explanation:
Depth of tank = 280000 m
Step-by-step explanation:
Given---> Capacity of tank = 5632 m³
Diameter of the base = 16 cm
To find---> Find depth of tank
Solution---> ATQ,
Diameter of the base = 16 cm
Radius of the base = diameter of base / 2
= 16 / 2
= 8 cm
We change radius of base in meter , for this we divide radius of base by 100
So , radius of base = 8 / 100 m
Let depth of cylindrical tank be h meter
ATQ, Capacity of cylinder = 5632 m³
Capacity of cylindrical tank means how much liquid tank can hold or contain, so capacity means volume of cylindrical tank.
So volume of cylindrical tank = 5632 m³
Now we know that ,
volume of cylinder = π r² h
Volume of cylindrical tank = 5632
=> π r² h = 5632
=> 22/7 ( 8 / 100 )² h = 5632
=> 22/7 ( 64 / 10000 ) h = 5632
=> h = ( 5632 × 7 × 10000 ) / ( 22 × 64 )
=> h = 280000 m
Depth of cylindrical tank = 280000 m
Additional information--->