To calculate the volume of the candle that Wangshu designed, we'll need to find the volumes of both the rectangular prism and the cylinder, then add them together.
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Volume of the Rectangular Prism: The formula for the volume \( V \) of a rectangular prism is: \[ V = \text{length} \times \text{width} \times \text{height} \]
Let’s assume the dimensions of the rectangular prism are:
- Length = \( l \) cm
- Width = \( w \) cm
- Height = \( h \) cm
Thus, the volume of the rectangular prism would be: \[ V_{prism} = l \times w \times h \]
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Volume of the Cylinder: The formula for the volume \( V \) of a cylinder is: \[ V = \pi r^2 h \] where \( r \) is the radius of the base, and \( h \) is the height of the cylinder.
If we let the height of the cylinder be the same as that of the rectangular prism:
- Radius = \( r \) cm
- Height = \( h \) cm
The volume of the cylinder would then be: \[ V_{cylinder} = \pi r^2 h \]
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Total Volume of the Candle: The total volume \( V_{total} \) of the candle is the sum of the volumes of the rectangular prism and the cylinder: \[ V_{total} = V_{prism} + V_{cylinder} \]
Substituting the volumes we found: \[ V_{total} = (l \times w \times h) + (\pi r^2 h) \]
After inserting the known values for \( l \), \( w \), \( h \), and \( r \) (if they are provided), you can proceed to calculate the total volume.
Finally, remember to round the final answer to the nearest tenth of a cubic centimeter.
If you provide specific dimensions, I can calculate the exact volume for you.
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