Final answer:
To find the cost for 190 bon bons, we first need to calculate the volume of each bon bon using the formula for sphere volume. Then, we can find the mass of each bon bon by multiplying the volume by the density of chocolate. Finally, we multiply the cost per gram by the mass of each bon bon to find the total cost for 190 bon bons.
Step-by-step explanation:
To calculate the cost for 190 bon bons, we first need to find the volume of each bon bon. The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius. Since the diameter is given, we can divide it by 2 to get the radius. So, the radius of each bon bon is 2.8/2 = 1.4 cm.
Now, using the formula for sphere volume, we can find the volume of each bon bon: V = (4/3)π(1.4)^3 = (4/3)π(2.744).
Next, calculate the mass of each bon bon by multiplying the volume by the density of chocolate: mass = volume × density = (4/3)π(2.744) × 1.3 = (4/3)π(3.5712) ≈ 14.97 g.
Finally, multiply the cost per gram ($0.06) by the mass of each bon bon (14.97 g) to find the cost for 190 bon bons: cost = $0.06 × 14.97 × 190 = $170.756.