Alandra's rectangular cake pan is 33 cm 33 cm33, start text, space, c, m, end text by 23 cm 23 cm23, start text, space, c, m, end text. She has enough batter to fill it to a depth of 3 cm 3 cm3, start text, space, c, m, end text. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm 9 cm9, start text, space, c, m, end text with a diameter of 4 cm 4 cm4, start text, space, c, m, end text. How many whole cones can Alandra fill?

Alexander can fill approximately 60 whole cones

Step-by-step explanation:

Volume of a rectangular cake pan = length × width × height

Length = 33 cm

Width = 23 cm

Height = 3 cm

Volume of a rectangular cake pan = length × width × height

= (33 × 23 × 3) cm

= 2,277 cm^3

Depth of a cone = 9cm

Diameter = 4 cm

Radius = diameter / 2 = 4/2

= 2 cm

Volume of a cone cake pan = πr^2h/3

= 3.14 × 2^2 × 9/3

= 3.14 × 4 × 3

= 37.68 cm^3

How many whole cones can Alandra fill?

Divide Volume of a rectangular cake pan by Volume of a cone cake pan

= 2,277 cm^3 / 37.68 cm^3

= 60.4

Approximately 60

Therefore, Alexander can fill approximately 60 whole cones

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