Math, asked by drdencymanu, 10 months ago

A cylindrical tank has a capacity of 5632m3 . If the diameter of the base is 16cm, find its depth?

Answers

Answered by rishu6845
2

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

Answered by Anonymous
44

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--->

1) Curved surface area of cylinder = 2 π r h

2) Total surface area = 2 π r ( r + h )

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