A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 444 inches. What will the height of the new cones be?
The height of the new cone will be calculated as follows: volume of cone=1/3πr²h volume of the old cone is: 1/3×π×2²×6 =12 π in³
given that the new cone and old one have the same volume and the new cone has a radius of 4 inches, the the height will be: 12π=1/3×π×4²×h solving for h we get: 36=16h thus h=2.25 inches thus the height of the new cone is 2.25 inches
