Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.