Question

Madelyn makes a strawberry smoothie in the blender before swim practice. The smoothie occupies just a little more than 38 cubic inches of space in the blender pitcher. When it is time to pour the smoothie into a cylindrical plastic cup, she has three sizes to choose from. Determine whether or not the each of the three cups is large enough to contain all of the strawberry smoothie. Use 3.14 for pi
Cup A with a height of 7 inches and a diameter of 3 inches is ___ to contain the entire strawberry smoothie.
A. large enough
B. too small


Cup B with a height of 5 inches and a radius of 1 inches is ___ to contain the entire strawberry smoothie.
A. large enough
B. too small


Cup C with a height of 6 inches and a diameter of 2.5 inches is ___ to contain the entire strawberry smoothie.
A. too small
B. large enough

Answer 1

Consider the cup a cylinder. The formula for the volume of a cylinder is: V= PI x r^2 x h

Cup A: 3.14 x 7 x 1.5^2 = 49.46

This is large enough

Cup B: 3.14 x 5 x 1^2 = 15.7

This is too small

Cup C: 3.14 x 6 x 1.25^2 = 29.44

This is too small.