THE VOLUME OF A WATER TANK IS 17400cm² IF THE HEIGHT OF THE TANK IS 2CM AND ITS BREADTH IS 16cm. FIND ITS LENGHT
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Answered by
24
Given
- Volume of the water tank = 17400 cm³
- Height of the tank = 2 cm
- Breadth of the tank = 16 cm
To find
- Length of the tank
Solution
Let the length of the tank be x cm.
Using formula,
Volume of the tank = lbh
where,
- l = length of the tank
- b = breadth of the tank
- h = height of the tank
Substituting the given values,
⟶ 17400 = x × 16 × 2
⟶ 17400 = 32x
⟶ 17400/32 = x
⟶ 543.75 = x
The value of x = 543.75
Therefore, the length of the tank = 543.75 cm
________________________________
Let's verify :-
Volume of the tank = lbh
- length of the tank = 543.75 cm
- breadth of the tank = 2 cm
- Height of the tank = 16 cm
⟶ 543.75 × 2 × 16
⟶ 17400 cm³
Hence, verified.
Answered by
109
Question :-
- The volume of a water tank is 17400cm³ . If the height of the tank is 2cm and its breadth is 16cm. Find its Length .
Given :-
- Volume of tank = 17400cm³
- Height of the tank = 2cm
- Breadth of the tank = 16cm
To Find :-
- What is the Length of the Tank ?
Solution :-
Let the Length be L
★Volume = Length × Breadth × Height★
⇛ 17400 = L × 16 × 2
⇛ 17400 = L × 32
⇛ 17400/32 = Length
⇛ 543.74 = Length
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∴ The Length of the tank is 543.75cm
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★ Additional Info :
- Volume of cylinder = πr²h
- Volume of cone = ⅓ πr²h
- Volume of cuboid = l × b × h
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Volume of hemisphere = ⅔ πr³
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