A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream.The ice cream is t
o be filled into cons of height 12 cm and diameter 6 CM, having a hemispherical shape on the top.Find the number of such cones which can be filled with ice cream.
A 12 cm by 15 cm cylinder is filled with ice cream. (Pi*Radius Squared* Height = volume of cylinder). 6 Squared * Pi * 15 = 1696.4 Cubic Centimetres of Ice Cream. The volume of the cone is calculated in almost the same way as a cylinder (One-Third*Pi*Radius Squared* Height= Vol. of cone). 12 cm * 9 cm * pi * 1/3 = 113.1 per Ice Cream Cone. Now we find out how many ice cream cones we need. 1696.4 / 113.1 = 14.999
to 
gives the effect of squashing the graph horizontally (by halving the x-coordinate)
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is reflecting on the y-axis
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is to translate by 4 units to the right
is translating the graph up by 5 units