SOLUTION: A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter

Algebra ->  Volume -> SOLUTION: A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter      Log On


   

Question 465718: A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter of 3 inches, to the nearest whole number, how many ice-cream cones can be scooped out of the cylinder? Let pie= 3.14



I TRY:
V-cylinder=(3.14)(5)^2(12)=942
Diameter= 1/2(3)=1.5
V-cone=(1/3)(3.14)(1.5)^2(5)=11.775 Diameter= 1/2(3)=1.5
942/11.775=80 <--My final answer but it was INCORRECT!(Not sure where I gone wrong)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter of 3 inches, to the nearest whole number, how many ice-cream cones can be scooped out of the cylinder? Let pie= 3.14
-------------
I'll use the Greek letter pi, not the dessert, pie.
------------------
Vol of cyl = pi%2Ar%5E2%2Ah+=+pi%2A25%2A12+=+300pi+=+942 cubic inches
------------------
Vol of cone = pi%2Ar%5E2%2Ah%2F3+=+pi%2A1.5%5E2%2A5%2F3+=+11.775 cubic inches
The ice cream isn't flush with the top of the cone.
--------------------
Vol of hemisphere on top of the cone = 2*pi*r^3/3 = 2*pi*2.5^3/3 = 10.42pi
Total per cone = 11.775 + 32.708 = 44.48 cubic inches
942/44.48 = 21 cones
-------------------------
I TRY:
V-cylinder=(3.14)(5)^2(12)=942
Diameter= 1/2(3)=1.5
V-cone=(1/3)(3.14)(1.5)^2(5)=11.775 Diameter= 1/2(3)=1.5
942/11.775=80 <--My final answer but it was INCORRECT!(Not sure where I gone wrong)