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.

The formula for the volume of a cone is ...

... V = (1/3)πr²h = (1/3)π(d/2)²h = (π/12)d²h

for height h and diameter d.

Then the volume of the cone is ...

... V = (π/12)·(2 in)²·(4 in) = 4π/3 in³ ≈ 4.189 in³

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The formula for the volume of a cylinder is ...

... V = πr²h = π(d/2)²h = (π/4)d²h

Then the volume of the cylinder is ...

... V = (π/4)·(2 in)²·(6 in) = 6π in³ ≈ 18.850 in³

The difference in volume is ...

... 18.850 in³ - 4.189 in³ = 14.661 in³ ≈ 14.7 in³