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Juice is sold in an aluminum can of cylindrical shape that measure 6 inches in height and 2 inches in diameter. How many cubic inches of juice are contained in a full can approximately?

A12.0

B15.4

C18.8

D113.0

Answer:

C. 18.8

Read Explanation:

A full can contains approximately 18.85 cubic inches of juice.

  1. Find the Radius:
    Radiusย (r)=Diameter2=2ย inches2=1ย inch\text{Radius } (r) = \frac{\text{Diameter}}{2} = \frac{2\text{ inches}}{2} = 1\text{ inch}

  2. Use the Cylinder Volume Formula:
    Volumeย (V)=ฯ€r2h\text{Volume } (V) = \pi r^2 h

    • Where h=6ย inchesh = 6\text{ inches} (height) and ฯ€โ‰ˆ3.14159\pi \approx 3.14159

  3. Calculate the Final Value:
    V=3.14159ร—(1)2ร—6V = 3.14159 \times (1)^2 \times 6
    V=3.14159ร—6โ‰ˆ18.85ย cubicย inchesV = 3.14159 \times 6 \approx 18.85\text{ cubic inches}


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