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 to 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.

You need 15 cones

Step-by-step explanation:

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

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

the answer is 489

step-by-step explanation: