You buy a cylindrical container of salt with a diameter of 3.25 inches and a height of 5 inches. Your salt shaker is a cylinder with a diameter of 1 inch and a height of 1.5 inches. How many times can you fill your salt shaker with the container! Round your answer to the nearest whole number.
Accepted Solution
A:
First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.
Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3
Volume of the shaker using the above principle: 3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3
Number of times it can fill the salt shaker will be the ratio of the volumes:
= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18