Question

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does the container hold? (Just type the number in the box; round to the nearest tenth.)

Answer 1

90

Step-by-step explanation:

Answer 2

The container holds approximately 268.1 cubic inches of popcorn (rounded to the nearest tenth).

Step-by-step explanation:

Calculate the volume of the cone:

Formula for the volume of a cone: (1/3) * π * radius² * height

Radius = diameter/2 = 8 inches / 2 = 4 inches

Volume = (1/3) * π * 4² * 10 inches

Volume ≈ 335.1 cubic inches

Round to the nearest tenth:

Volume ≈ 268.1 cubic inches (rounded to one decimal place)

Therefore, the cone-shaped container can hold approximately 268.1 cubic inches of popcorn.