Question

A bricklayer uses a cylinder to store sand. The cylinder is 5 ft tall and has a radius of 0.5 ft. Each batch of mortar contains 0.48 ft3 of sand. How many batches of mortar can the bricklayer make with 1 cylinder of sand? Use 3.14 to approximate pi, andround your final answer to the nearest whole number.

Answer 1

So we want to know how much sand can we store in a cylinder that has height h=5 feet and a radius r=0.5 feet if we need 0.48 ft^3 of sand for a batch of mortar. That is, how many batches of mortair can we make from the sand in the cylinder. So lets first calculate the volume V of the cylinder: V=r^2 * pi * h=3.925 in^3. Now lets divide the volume by 0.48 so we get the unit od sand needed for one batch od mortar: V/0.48= 8.177083. The nearest whole number is 8.