MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

The formula for the volume of a cone is ...... V = (1/3)πr²h = (1/3)π(d/2)²h = (π/12)d²hfor 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___The formula for the volume of a cylinder is ...... V = πr²h = π(d/2)²h = (π/4)d²hThen 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