The olympic-size pool at the recreational center is a right rectangular prism 50\, \text{m}50m50, space, m long and 25 \,\text{m}25m25, space, m wide. the pool contains 3000\text{ m}^33000 m 3 3000, space, m, start superscript, 3, end superscript of water. how deep is the water in the pool?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?