Two cylindrical swimming pools are being filled simultaneously at the same rate. The smaller pool has a radius of 5 m, and the water level rises at a rate of 0.5m/min. The larger pool has a radius of 8 m. How fast is the water level rising in the larger pool?

0.195m/min

Step-by-step explanation:

The radii of the smaller pool =5m

The radii of the larger pool = 8m

DEFINITION:

Given two similar shapes, and the ratio of lengths in the two similar shapes, the ratio of the areas is a square of the ratio of the lengths.

The radii of the pools have a ratio of 5:8

Therefore, the ratio of surface areas will be  

Since the pools are being filled at the same rate  

Let the Volume of the Smaller Pool, and the height of the water be

Let the Volume of the Larger Pool, and the height of the water be

Volume of a cylinder = Base surface area X Height

The water level is rising in the larger pool at a rate of 0.195m/min