annaelizabeth2017
contestada

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

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 a class=

Respuesta :

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 Ï€ x r²x h = 1/3 x Ï€ x 1.5² x 6 = 14.13 cubic inches

Cylinder:

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

height: 5 inches (h)

  • Ï€ x r²x h = Ï€ 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.

kueblerc

Answer:

option b

Step-by-step explanation:

Because cup b is 21.2 cubic inches more than cup a

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