Question

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


A cone is shown with width 2 inches and height 4 inches, and a cylinder is shown with width 2 inches and height 6 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. (1 point)



8.8 cubic inches


10.1 cubic inches


14.7 cubic inches


22.3 cubic inches

Answer 1

Answer:

14.7 cubic inches

Step-by-step explanation:

**Figure are not shown but from description, here is the solution**

Volume of a cone = $\frac{1}{3}\pi r^2h$

Where

• r is the radius
• h is the height

Volume of Cylinder = $\pi  r^2h$

Where

• r is the radius
• h is the height

Note: In this problem, the width is given, it is same as diameter. Since radius is half of that, radius is half of width.

Volume of the cone = $\frac{1}{3}\pi  (1)^2(4)=4.2$

Volume of Cylinder = $\pi (1)^2(6)=18.8$

So the Cylinder will hold $18.85-4.19=14.66=14.7$ more than Cone.

Hence, Cup B will hold 14.7 cubic inches of juice more than Cup A.

Answer 2

Answer:

14.7 cubic inches