Asked by Samuel
a recipe calls for 1 cup of pureed carrots. Assuming that each carrot has the dimensions shown in the following image, how many carrots are needed for the recipe. Use a familiar three-dimensional solid as a model when determining the volume of a single carrot. note that 1 cup= 14.4375 in^3
Answers
Answered by
PsyDAG
No image shown. Cannot copy and paste here
Answered by
Damon
Well I suppose that although I can not see your carrot it is pretty conical.
the volume of pointy things with straight sides is generally 1/3 the base area times the height
so I guess the volume of this theoretical carrot is about
v = (1/3) pi r^2 h = (1/3) 3.14159 (1.25/2)^2 (5) = about 2 in^3
now as I recall a cup is about 14 in^3
so you would need round 7 carrots.
Now you do the numbers because I am just doing this in my head.
the volume of pointy things with straight sides is generally 1/3 the base area times the height
so I guess the volume of this theoretical carrot is about
v = (1/3) pi r^2 h = (1/3) 3.14159 (1.25/2)^2 (5) = about 2 in^3
now as I recall a cup is about 14 in^3
so you would need round 7 carrots.
Now you do the numbers because I am just doing this in my head.
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