Answer :
Answer:
The cost per cubic inch for the big cone is 0.0305 and for the small cones is 0.0189
1Calculate the cost per cubic inch for the big cone: $8 / 261.8 ≈ 0.0305
2Calculate the cost per cubic inch for the small cones:$5 / 263.88 ≈ 0.0189
Answer:
big cone: $0.0305
small cone:$0.0189
Step-by-step explanation:
To find the cost per cubic inch, we first need to determine the total cost and total volume for both scenarios.
For the big cone:
- Cost: $8
- Volume: 261.8 in³
For the four small cones:
- Cost: $5
- Volume: 263.88 in³
Now, we calculate the cost per cubic inch for each scenario:
For the big cone:
[tex] \textsf{Cost per cubic inch} = \dfrac{\textsf{Cost}}{\textsf{Volume}} \\\\= \dfrac{8}{261.8}\\\\ \approx 0.0305 [/tex]
For the four small cones:
[tex] \textsf{Cost per cubic inch} = \dfrac{\textsf{Cost}}{\textsf{Volume}}\\\\ = \dfrac{5}{263.88} \\\\\approx 0.0189 [/tex]
Therefore, the cost per cubic inch is approximately $0.0305 for the big cone and approximately $0.0189 for the four small cones.