Question

Radius of base of a cylinder is 14 cm the drum holds water if a block of metal 14 cm long 11 cm wide and 10 cm high is dropped into the water by how much will its level rise if the block is completely immersed in it

Answer 1

Answer:

2.5 cm

Step-by-step explanation:

See in the attachment .

Answer 2

Level of water  rise if the block completely immersed in it=2.5 cm

Step-by-step explanation:

Radius of cylinder=r=14 cm

Length of metal block=l=14 cm

Width of metal block=b=11 cm

Height of metal block=h=10 cm

Volume of metal block =lbh

Using the formula

Volume of metal block=$14\times 11\times 10$

Volume of metal block=1540 cubic cm

Volume of water rises=$\pi r^2 h$

Where h= Height of water rises

$\pi=\frac{22}{7}$

Volume of water rises=Volume of metal block

$\frac{22}{7}\times(14)^2 h=1540$

$h=\frac{1540\times 7}{22\times (14)^2}=2.5 cm$

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