Question

Look at the cups shown below (images are not drawn to scale):

Answer 1

Answer: Cup B will hold 21.2 cubic inches more of juice than cup A.

Step-by-step explanation:

Hi, to solve this problem we have to calculate the volume of each cup, the volume will be the amount of water that each one can hold.  

Cone:

width :3 inches (3/2 = 1.5 radius)

height: 6 inches (h)

So, we have to apply the volume formula for a cone:

• 1/3 x π x r²x h = 1/3 x π x 1.5² x 6 = 14.13 cubic inches

Cylinder:

width :3 inches (3/2 = 1.5 radius)

height: 5 inches (h)

• π x r²x h = π x 1.5²x 5= 35.34 cubic inches

Finally, we have to subtract the volume of the cone to the volume of the cylinder.

• 35.34 cubic inches - 14.43 cubic inches= 21.2cubic inches

In conclusion, cup B will hold 21.2 cubic inches more of juice than cup A.

Answer 2

The correct answer is 21.2.