The formula to calculate the volume of a cone is (1/3)πr²h, where r is the radius and h is the height.
The radius of the container is half of the diameter, so it is 8 inches / 2 = 4 inches.
Using the formula, the volume of one container is (1/3)π(4 inches)²(10 inches) = (1/3)π(16 inches²)(10 inches) = (1/3)(3.14)(16 inches²)(10 inches) = (1/3)(3.14)(160 inches²) = (1.047)(160 inches²) = 167.35 inches³.
Since there are three people buying one container each, the total volume of popcorn is 3 * 167.35 inches³ = 502.05 inches³.
Rounded to the nearest tenth, the answer is approximately 502.1 inches³.
Therefore, the correct option is:
A) 251.2 in³
Michael, Charlotte, and Kai went to a movie theater that sells popcorn in cone-shaped containers. Each container has a diameter of 8 inches and a height of 10 inches. If they each buy a container, how many cubic inches of popcorn will they have in total? Round to the nearest tenth.
A) 251.2 in3
B) 502.4 in3
C) 83.7 in3
D) 167.5 in3
1 answer