SOLUTION: At an ice cream parlor you order a double scoop of ice cream. The server first stuffs the cone, which is 14.3 cm. high and 8.4 cm across, full of ice cream. She then tops the con

Question 279604: At an ice cream parlor you order a double scoop of ice cream. The server first stuffs the cone, which is 14.3 cm. high and 8.4 cm across, full of ice cream. She then tops the cone with a nicely rounded half-scoop. On top of this she puts the second scoop. To the nearest cubic centimeter, how much ice cream did you receive?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
At an ice cream parlor you order a double scoop of ice cream. The server first stuffs the cone, which is 14.3 cm. high and 8.4 cm across, full of ice cream. She then tops the cone with a nicely rounded half-scoop. On top of this she puts the second scoop. To the nearest cubic centimeter, how much ice cream did you receive?
the volume of the cone is given by the formula 1/3* pi*r^2*h
v= 1/3 *3.14*4.2^2*14.3
264cu. cm.
volume of a sphere is given by 4/3 * pi*r^3
= 4/3*3.14*(4.2)^3 ( since two halves are put , it amounts to putting 1 complete ball / sphere)
= 310 cu. cm
Total icecream = 264cu.cms in cone + 310 cu. cms on top= 574 cu. cms

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