List of practice Questions

Some spherical balls of diameter $2.8\,\text{cm}$ are dropped into a cylindrical container containing some water and are fully submerged. The diameter of the container is $14\,\text{cm}$. Find how many balls have been dropped in it if the water rises by $11.2\,\text{cm}$.

The area of a trapezium of height $40\,\text{cm}$ is $1600\,\text{cm}^2$. One parallel side is $10\,\text{cm}$ longer than the other side. Find the ratio of the lengths of the parallel sides.

A cylindrical pipe of radius $1.4\,\text{m}$ has water flowing out at $2.5\,\text{m/s}$ into a cuboidal tank of dimensions $28\,\text{m}\times 11\,\text{m}\times 25\,\text{m}$. The flow completely occupies the pipe's cross-section. What percentage of the tank is filled up in $8$ min $20$ s?