a soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. each serving of…
a soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. each serving of soup is 15 cubic inches. if a can of soup this size costs $1.99, what is the cost for each serving of soup? round to the nearest cent.
Answer
Explanation:
Step1: Find radius of the can
The diameter is 3.5 inches, so radius $r = \frac{3.5}{2} = 1.75$ inches.
Step2: Calculate can volume (cylinder)
Use cylinder volume formula $V = \pi r^2 h$. $V = \pi (1.75)^2 (5) \approx 3.1416 \times 3.0625 \times 5 \approx 48.1056$ cubic inches.
Step3: Find number of servings
Divide total volume by serving size: $\frac{48.1056}{15} \approx 3.207$ servings.
Step4: Calculate cost per serving
Divide total cost by number of servings: $\frac{1.99}{3.207} \approx 0.62$
Answer:
$0.62