Question

into a cylindrical glass tube of uniform
end. Find the height of water in the glass tube.
5. Find the depth of a cylindrical tank of radius 10.5 m, if its capacity is equal to that of a rectangular
tank of size 15 m x 11 mx 10.5 m.​

Answer 1

Given :-

• A cylindrical tank of radius 10.5 m, if its capacity is equal to that of a rectangular tank of size 15 m x 11 mx 10.5 m.

To find :-

• Depth of cylindrical tank

Solution :-

• Length of rectangular tank = 15m

• Breadth of rectangular tank = 11m

• Height of rectangular tank = 10.5m

It is given that the capacity of rectangular tank is equal to capacity of cylinderical tank

• Radius of cylinderical tank = 10.5 m

As we know that

→ Volume of cylinder = Volume of cuboid

→ πr²h = l × b × h

• Put the values

→ 22/7 × (10.5)² × h = 15 × 11 × 10.5

→ 22 × 1.5 × 10.5 × h = 165 × 10.5

→ 33 × 10.5 × h = 1732.5

→ 346.5 × h = 1732.5

→ h = 1732.5/346.5

→ h = 5 m

Hence,

• Height of cylinderical tank is 5 m