An ice cream cone has a base diameter of 6 cm and height of 13 cm. It isfilled with ice cream with 1 and a half balls of ice cream on top. Calculate the volume of the ice cream.
Answer in dl
2006-12-11 07:09:43 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
How large are the balls of ice cream? And what do you mean that the answer is to be in "dl?" In detail or in deciliter?
Assuming the diameters of the balls are also 6 cm:
Volumn of the whole ball = 4/3 (pi) r^3 = 4/3 * 3.14 * 3^3
= 113.04 cubic centimeters
Volumn of the half ball = 113.04/2 = 56.52 cubic centimeters
Volumn of the cone = 1/3 (pi) r^2 h = 1/3 * 3.14 * 9 * 13
= 122.46 cubic centimeters
Sum of all volumns = 113.04 + 56.52 + 122.46 = 292.02 cm^3
If the problem wants you to convert 292.02 cm^3 to dl:
1000000 cubic centimeter = 1 cubic meter
1 cubic meter = 10000 deciliter
So 292.02 cubic centimeter = 0.000292 cubic meter
And 0.000292 cubic meter = 2.92 deciliter
The answer is 2.92 dl
2006-12-11 09:59:57 · answer #1 · answered by Anonymous · 0⤊ 1⤋
This is what I got:
Volume of Cone = 1/3*pi*r^2*h =122.52201cm^3
Volume of 1 scoop = Volume of Sphere = 4/3*pi*r^3 = 113.09724
Add volume of 1/2 scoop = 113.09724/2 = 56.54862
Sum these for volume in cm^3 = 292.16787
Convert to deciliters = 292.16787/100 = 2.9216787
So... about 2.92 dl
2006-12-11 07:27:31 · answer #2 · answered by ecogeek4ever 6 · 0⤊ 0⤋