1 supersized cone for $8 or 4 regular-sized cones for $5.
The large cone is has a radius of 5 inches and a height of 12 inches.
Each of the 4 smaller cones have a radius of 2.5 inches and a height of 6 inches.
Which holds more ice cream? the 1 big cone? or the 4 smaller cones combined?
The $8 Large cone volume = 314.159?
The $5 Smaller cone volume = 39.2699?
The volume of the 4 small cones combined = 157.0796
So the larger cone holds more ice cream.
And it should be the better deal right?
Volume of each cone: 1/3 PI*radius^2*height
Volume of supersize: 1/3*PI*25*12=100PI
volume of 4 regulars: 4*1/3*PI*2.5^2*6=50*PI
larger holds more than 4 regular.
better deal:
cost 50 PI icecream: smaller, 5 dollars
cost 50 pi icecream: larger: 8/2=4 dollars
Yes, you are coorect
Yes, the larger cone holds more ice cream. The volume of the larger cone can be calculated using the formula for the volume of a cone, which is V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
Plugging in the values for the larger cone, we get V = (1/3) * 3.14159 * 5^2 * 12 = 314.159 cubic inches.
On the other hand, the volume of each smaller cone can also be calculated using the same formula. Plugging in the values for the smaller cone, we get V = (1/3) * 3.14159 * 2.5^2 * 6 = 39.2699 cubic inches. Since there are 4 smaller cones, their combined volume is 4 * 39.2699 = 157.0796 cubic inches.
Therefore, the larger cone holds more ice cream with a volume of 314.159 cubic inches, compared to the combined volume of the 4 smaller cones, which is 157.0796 cubic inches.
In terms of the better deal, if the primary concern is getting the most ice cream for your money, then the larger cone for $8 is a better deal since it holds more ice cream compared to the 4 smaller cones for $5.
To determine which option holds more ice cream, we need to calculate the volumes of the two options: the large cone and the four smaller cones combined.
The volume of the large cone can be calculated using the formula for volume of a cone: V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height. Plugging in the values given, we have:
V = (1/3) * 3.14159 * (5^2) * 12
= 3.14159 * 25 * 4
= 314.159 cubic inches
So, the volume of the large cone is 314.159 cubic inches.
The volume of each individual smaller cone can also be calculated using the same formula. Then, we can sum up the volumes of all four smaller cones:
V = (1/3) * 3.14159 * (2.5^2) * 6
= 3.14159 * 6.25 * 2
= 39.2699 cubic inches
Since there are four smaller cones, we multiply the volume of one smaller cone by four to get the total volume of the four smaller cones combined:
Total volume = 39.2699 * 4
= 157.0796 cubic inches
Comparing the volumes, we find that the large cone holds 314.159 cubic inches while the four smaller cones combined hold 157.0796 cubic inches. Therefore, the large cone holds more ice cream.
In terms of the better deal, we need to consider the cost as well. The large cone costs $8, while the four smaller cones cost $5. Since the large cone holds more ice cream and costs only $8, it is indeed the better deal in terms of quantity and price.