QQuestionMathematics
QuestionMathematics
A Pringles chips can has a diameter of 3 inches and a height of 10.5 inches. What is the volume of the Pringles can in terms of π?
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Answer
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Step 1:: First, we need to find the radius of the base of the cylinder since the formula for the volume of a cylinder requires the radius.
Radius = \frac{Diameter}{2} = \frac{3 \text{ inches}}{2} = 1.5 \text{ inches}
The radius is half of the diameter, so we calculate the radius as follows:
Step 2:: Now, we can calculate the volume of the cylinder using the formula:
Volume = π \times Radius^2 \times Height
Step 3:: Substitute the values into the formula:
Volume = π \times (1.5 \text{ inches})^2 \times 10.5 \text{ inches}
Step 4:: Calculate the square of the radius:
Volume = π \times 2.25 \text{ inches}^2 \times 10.5 \text{ inches}
Step 5:: Multiply the numbers:
Volume ≈ 78.75π \text{ cubic inches}
Final Answer
The volume of the Pringles can is approximately 78.75π cubic inches.
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