11) There is some water filled in a hollow cylinder whose diameter is 14 cm. A
cubical iron block is immersed in it. If the depth of the water is increased upto 8 cm
so find the edge of cube. Ans: 11 cm
Answers
Answered by
6
Answer:
Edge of the cube is 11 cm (approx.)
Step-by-step explanation:
According to the question, we are given that there is some water filled in a hollow cylinder whose,
=> Diameter of cylinder = 14 cm
=> Radius of cylinder = 7 cm
=> Height of the cylinder = 8 cm
In that cylinder, a cubical block is immersed. Therefore we can say that, the volume of cylinder is the same as that of its cubical block.
=> Volume of cylinder = πr²h
=> Volume of cube = (Edge)³
According to the question,
=> Volume of cube = Volume of cylinder
=> (Edge)³ = πr²h
=> (Edge)³ = (22 × 7 × 7 × 8) / 7
=> (Edge)³ = 1232
=> Edge = ∛1232
=> Edge = 10.72 = 11 cm (approx.)
Therefore, the edge of cubical block is approximately equal to 11 cm.
Similar questions