Look at the cups shown below (images are not drawn to scale): a cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 inches how many more cubic inches of juice will cup b hold than cup a when both are completely full? round your answer to the nearest tenth. 18.8 cubic inches 21.2 cubic inches 28.2 cubic inches 49.5 cubic inches

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:

Cylinder:

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

height: 5 inches (h)

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

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

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2