Question

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

Answer 1

To serve each of her three guests a full 6-inch tall glass with a 3-inch diameter, Angela will need a total of 127.17 cubic inches of milk.

Step-by-step explanation:

To calculate the amount of milk Angela will need, we need to find the volume of one glass and then multiply it by the number of guests. The volume V of a cylinder (which is the shape of the glass) is given by the formula V = πr^2h, where r is the radius, h is the height, and π (pi) is approximately 3.14.

First, we find the radius of the glass by dividing the diameter by 2: radius (r) = 3 inches / 2 = 1.5 inches.

Then we use the formula to find the volume of one glass: V = 3.14 × (1.5 inches)^2 × 6 inches.

Now, calculate the volume: V = 3.14 × 2.25 sq inches × 6 inches = 42.39 cubic inches.

Since Angela has three guests, the total volume of milk needed is: 3 × 42.39 cubic inches = 127.17 cubic inches.

Therefore, Angela needs 127.17 cubic inches of milk to serve each guest a full glass.