Find the volume of a beverage can that has a height of 8.7 in. and a diameter of 3.2 in. Use 3.14 as an approximation for 

To find the volume of a cylindrical can, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base, and
- \( h \) is the height of the cylinder.

Given:
- Height \( h = 8.7 \) inches
- Diameter \( d = 3.2 \) inches, so the radius \( r = \frac{3.2}{2} = 1.6 \) inches

Substituting the values into the formula and using \( \pi \approx 3.14 \):

\[
V = 3.14 \times (1.6)^2 \times 8.7
\]

First, calculate \( (1.6)^2 \):
\[
(1.6)^2 = 2.56
\]

Then substitute back into the formula:
\[
V = 3.14 \times 2.56 \times 8.7
\]

Next, calculate \( 3.14 \times 2.56 \):
\[
3.14 \times 2.56 = 8.0384
\]

Then multiply by the height:
\[
V = 8.0384 \times 8.7 = 69.93408
\]

Rounding to two decimal places, the volume is approximately:
\[
V \approx 69.93 \text{ cubic inches}
\]

The volume of the beverage can is approximately **69.93 cubic inches**.

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. How would the volume change if the height were doubled?
2. What would the volume be if the diameter were 4 inches instead?
3. How would you find the surface area of this can?
4. What is the effect of using a more precise value for \( \pi \)?
5. How would the volume formula change if the can were a different shape, like a cone?

**Tip:** Always check units when calculating volume; for consistent results, ensure all dimensions are in the same unit system.

Find the volume of a beverage can that has a height of 8.7 in. and a diameter of 3.2 in. Use 3.14 as an approximation for π.

Learn how to calculate the volume of a cylindrical beverage can with a height of 8.7 inches and a diameter of 3.2 inches using the formula V = πr^2h. This problem uses an approximation of π as 3.14 and provides a step-by-step solution, suitable for students in Grades 6-8.

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