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Alandra's rectangular cake pan is 33 cm by 23 cm. She has enough batter to fill it to a depth of 3 cm. Instead,
Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm with a
diameter of 4 cm.
How many whole cones can Alandra fill?
whole cones

Sagot :

altavistard

Answer:

Step-by-step explanation:

The total volume of the batter is the same in both cases:

(33 cm)(23 cm)(3 cm) = 2277 cm^3.

The volume-of-a-cone formula is V = (1/3)(pi)r^2h

In this case the cone diameter is given as 4 cm, so the radius is 2 cm (this does not sound right!).  The area of the base of this cone is (pi)(2 cm)^2.  Finally, the cone volume is (area of the base)(height), which works out to (pi)(4 cm^2)(9 cm) = 113.1 cm^3.

Divide this individual cone volume into the total 2277 cm^3 volume of the batter:

2277 cm^3

------------------- = 20 with a remainder

  113.1 cm^3

Alandra can fill 20 cones full and have a small fractional remainder.

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