SOLUTION: A wafer cone shown contains 56 cubic centimetre of ice-cream filled to the bottom. the diameter of the cone is 4.2 cm and the top of the ice-cream has the shape of a hemisphere. f
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Question 802278: A wafer cone shown contains 56 cubic centimetre of ice-cream filled to the bottom. the diameter of the cone is 4.2 cm and the top of the ice-cream has the shape of a hemisphere. find the height of the cone
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The radius of both the hemisphere part and the base of the cone part is the same, namely one-half of the diameter of the cone base.
The volume of a hemisphere is one-half the volume of a sphere which is 
, so 
. The volume of a cone is one-third the volume of a cylinder with congruent base and height, so 
.
^3\ +\ \frac{1}{3}\pi(2.1)^2h\ =\ 56)
Solve for 
. If you are going to calculate a numerical approximation, your least precise measurement is the volume which is given to the nearest whole cc. Therefore, present the height rounded to the nearest whole cm.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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