SOLUTION: The wafer cone shown in the figure is to hold 12 in3 of ice cream when filled to the bottom. The diameter of the cone is 2 inches, and the top of the ice cream has the shape of a h

Question 1107513: The wafer cone shown in the figure is to hold 12 in3 of ice cream when filled to the bottom. The diameter of the cone is 2 inches, and the top of the ice cream has the shape of a hemisphere. Find the height h of the cone. (Round your answer to two decimal places.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
No picture available, but assume total volume includes the hemisphere.
V= V cone + V hemisphere
12 in^3= (1/3)pi*r^2h+(4/3)(1/2)pi*r^3, r=1, since d=2
12=(1/3)pi*h+(2/3)pi
move (2/3) pi to left and divide both sides by (1/3) pi.
h=9.46 cm.
Check grossly--(1/3)pi*r^2*h is about 9.5, a little more since (1/3)pi>1
V sphere is (4/3)*pir^3=about 4, and half of that is about 2, or a little more
That is 11.5 cm^3, in the range of 12.
RELATED QUESTIONS
A wafer cone shown contains 56 cubic centimetre of ice-cream filled to the bottom. the... (answered by solver91311)

A perfectly spherical scoop of mint chocolate chip ice cream is placed in a cone, as... (answered by RAY100)

an ice cream cone of radius 3cm hold 100ml of ice cream. what is the height of the... (answered by Boreal)

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If... (answered by stanbon)

An ice cream cone is 14 cm high and has a diameter of 12 cm. what is the approximate... (answered by Alan3354)

An ice cream cone has a diameter of 4.2 cm and a height of 11.5 cm. one spherical scoop... (answered by Cromlix)

There is an ice cream cone with a big rounded scoop of ice cream with half the scoop in... (answered by KMST)

Larry's ice cream is installing a giant ice cone above the shop. The plans for the ice... (answered by Theo)

Frank wants to figure out which ice cream is the best option to buy. Frank considers the... (answered by stanbon)