Problema Solution
if a carton of icecream is 10 centimeters in diameter and 15 centimeters tall with a scoop 4 centimeters in diameter how many perfectly spepherical scoops can you get out of the carton
Answer provided by our tutors
Assuming the cart of ice-cream is cylindrical in shape, its volume is:
V1 = (10/2)^2pi*15
V1 = 375pi cm^3
The volume of the scoop is:
V2 = (4/3)(4/2)^3pi
V2 = (32/3)pi
Let 'n' represent the number of scoops then:
V1 = nV2
375pi = n(32/3)pi
n(32/3) = 375
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click here to see the equation solved for n
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n = 35.16
Since we need the number of perfectly shaped scoops the maximum number is 35 scoops.