Chapter 12.4, Problem 16PSB

Solution

To Find: Whether the pan will overflow or not.

The pan will overflow.

Given information:

The water from cylindrical glass is poured into the rectangular pan.

Formula used:

Here, we are using the formula:

Volume of cuboid = $l\times b\times h$

(Where, “l” is length

“b” is breadth

“h” is height)

Volume of cylinder = $\pi r^{2}h$

(Where, “r” is radius and “h” is height)

Calculation:

Here, Volume of rectangular pan should be equal to the volume of cylindrical glass

So, $l\times b\times h$ = $5\times 15\times 10$

➜ $750$ cm ${}^3$

And, $\pi r^{2}h=\frac{22}{7}\times 16\times 15$

➜ $754.28$

So, volume of cylindrical glass is more than volume of pan

Therefore, pan will overflow.

Conclusion: Hence, the pan will overflow