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?
Answers
height of new cone = 3/2 inch
Step-by-step explanation:
A french fry stand at the fair serves their fries in paper cones.
Radius of cone = 2 inch
height of cone = 6 inch
Volume = (1/3)πr²h
= (1/3)π * 2² * 6
= (1/3)π * 24 inches³
new radius = 4 inch
new height = x inch
Volume = (1/3)π * 4² * x
= (1/3)π * 16x inches³
(1/3)π * 16x = (1/3)π * 24
=> 2x = 3
=> x = 3/2
Height = 3/2 inch
height of new cone = 3/2 inch
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Answer:
The height of the new cones will be 1.51.51, point, 5 inches.
Step-by-step explanation: