Question

Your goal is to fill a right circular cylinder shaped bucket with water. The bucket has a radius of 6 inches and a height of 12 inches. If you use a right circular cone with a 3 inch radius and a 4 inch height, how many scoops of water will it take to fill the bucket ?

Answer 1

36

Explanation:

to answer this question :

1. determine the volume of the cylinder and the cone.
2. Divide the volume of the cylinder by the volume of the cone

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12) = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times