Annie is baking a square-shaped cake for her sister's birthday. she is expecting 18 guests. she plans to cut the cake into square-shaped pieces 2 inches long. the cake must be big enough so each guest gets 2 pieces. what must the length of the cake be for each guest to get 2 pieces each?

Givens

So, if she expects 18 guets, and she wants to give 2 pieces to each of them, that means she needs 36 cake pieces.

If each piece is 2 inches long, that means the area per piece is 4 square inches.

Therefore, she needs 144 square inches of cake to give 2 pieces to each guest and have 18 guests.

In terms of length, it would be 72 inches.

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !