Answer:
The volume of one cone-shaped cup can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height. Substituting the given values, we get:
V = (1/3)π(5 cm)^2(10 cm)
V ≈ 261.8 cm^3
Therefore, one cup can hold approximately 261.8 cubic centimeters of flower petals.
To find the total volume of petals that all 150 cups will hold, we can multiply the volume of one cup by the total number of cups:
Total volume = 150 cups × 261.8 cm^3/cup
Total volume ≈ 39,270 cm^3
Rounding to the nearest whole number, we get that the total volume of petals that all the cones will hold is approximately 39,270 cubic centimeters.