Question

. In a clean drive, the garbage collected by 11 cubical containers of side 20 cm is to be emptied into

cylindrical tanks of radius 2 m and height 3.5 m daily. In how many days will tank will be filled

completely..​

Answer 1

Answer:

In 500 days tank will be filled completely.

Step-by-step explanation:

Given that:

• Total number of cubical containers = 11 containers
• Length of each side of container = 20 cm

Formula to find the volume of a cube:

Volume of cube = (edge)³ cubic unit.

Finding the volume of one cubical container:

→ Volume of one cubical container = (20)³ cm³

→ Volume of one cubical container = 8000 cm³

Finding the volume of 11 cubical containers:

→ Volume of 11 cubical container = 8000 × 11 cm³

→ Volume of 11 cubical container = 88000 cm³

Given that:

• Radius of cylindrical tank = 2 m
• Height of cylindrical tank = 3.5 m

Formula to find the volume of cylinder:

Volume of cylinder = πr²h cubic unit

Where,

• r = Radius of cylinder
• h = Height of cylinder
• π = 22/7

Finding the volume of cylindrical tank:

→ Volume of cylindrical tank = π × 2² × 3.5 m³

→ Volume of cylindrical tank = (22 × 4 × 35)/(7 × 10) m³

→ Volume of cylindrical tank = 44 m³

Converting the 44 m³ into cm³:

• 1 m³ = 1000000 cm³
• 44 m³ = 44000000 cm³

To find:

In how many days will tank will be filled completely.

Finding the number of days taken by 11 cubical containers to completely filled the cylindrical tank:

→ Number of days = (Volume of cylindrical tank) / (Volume of 11 cubical containers)

→ Number of days = (44000000 cm³) / (88000 cm³)

→ Number of days = 500 days.

Answer 2

Answer:

Given :-

• Total number of container = 11
• Length = 20 cm
• Radius of cylinder = 2 m
• Height = 3.5 m

To Find :-

Total days required

Solution :-

As we know that

Volume of cube = edge³

Volume = 20³

Volume = 20 × 20 × 20

Volume = 8000 cm³

Now,

Total container = 11

Total Volume = 11 × 8000

Total Volume = 88000 cm³

Now,

Volume of cylinder = πr²h

Volume = 22/7 × 2² × 3.5

Volume = 22/7 × 4 × 3.5

Volume = 88 × 0.5

Volume = 44 m³

Now

44 m³ = 44000000 cm

Now,

Total Days => 44000000/88000

Total Days => 500 days