A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.What is the volume of the plug?
Use 3.14 to approximate pi, and express your final answer in hundredths.
and
Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.
What is the height of the package that has a radius of 6 in. and contains exactly enough bird seed to fill the feeder?
Use 3.14 to approximate pi.
Answers
Answer 1
Answer:
volume of a cone=height times 1/3 times are of base area of base=circle=pi times radius^2 pi is aprox in this problem 3.14 volume=height times 1/3 times 3.14 times radius^2 height=3 diameter=2radius radius=1/2diameter radius=1/2 times 24=12
volume=3 times 1/3 times 3.14 times 12^2 volume=1 times 3.14 times 144 volume=452.16 km^3 cubic km
second: so bird feeder height=24 radius=3 volume=24 times 1/3 times 3.14 times 3^2 volume=8 times 3.14 times 9 volume=226.08 then find height of package with same volume 226.08=height times 1/3 times 3.14 times 6^2 226.08=height times 3.14 times 36 times 1/3 226.08=height times 3.14 times 12 226.08=heigh times 37.68 divide both sides by 37.68 6=height