Question

A cylindrical tank of radius 7 m has water to some level. If 110 cubes of side
X 7 cm are completely immersed in it, then find the rise in water level
​

Answer 1

Answer will be 84 cm .the water rises to 84 cm.

Answer 2

The increase in water level will be 0.245 mm.

Step-by-step explanation:

The radius of the cylindrical tank is given to be 7 m.

So, its area of the cross-section will be = $\pi (7)^{2} = 22 \times 7 = 154$ sq. meters.

Now, one cube of side 7 cm will have volume = (7 × 7 × 7) = 343 cubic cm.

Hence, volume of such 110 cubes will be = (343 × 110) =  37730 cubic cm. = 0.03773 cubic meters.

Therefore, the increase in water level will be $\frac{0.03773}{154} = 0.000245$ meters = 0.245 mm (Answer)