DOMINICANGirl_15: lindsay is opening a yogart shop. she will sell two sizes of waffle cones. the small has a radius of two inches and height of 4 in and will cost $3.50. the large has the same radius but has a height of 6 inches and cost $5.50. which is a better buy?
Hi Dominicangirl_15
I don't think that we get many questions from Dominica.
Little Cone
V = (1/3*pi*2
2*4) + ( 1/2 * 4/3pi * 2
3)
V = 5.33pi + 5.33pi
V = 10.66pi
V = 33.49 inches cubed
$3.50/33.49 inches cubed = 10.5 cents/inch cubed
Big Cone
V = (1/3*pi*2
2*6) + ( 1/2 * 4/3pi * 2
3)
V = 8pi + 5.33pi
V = 13.33pi
V = 41.88 inches cubed
$5.50/41.88 inches cubed = 13.1 cents/inch cubed
Therefore the little cone is better value. (Unless you are hungary and it is your parent's money)
140309 cones.JPG