The radius of the cone is 1.25 inches, and its height is 2.75 inches. if the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? .a) 4.43 in3 . b) 0.07 in3 . c) 13.50 in3 . d) 4.50 in3 .

Option D) 4.50 in3

Step-by-step explanation:

step 1

Find out the volume of the cone

The volume of the cone is

we have

assume

substitute

step 2

Find out the volume of the sphere (bubble gum)

The volume of the sphere is

we have

-----> the radius is half the diameter

assume

substitute

step 3

Find out the volume of the cone that can be filled with flavored ice

Sum the volumes

therefore

The closest approximation of the volume of the cone that can be filled with flavored ice is 4.50 in3

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3