To calculate the volume of a sphere (which is the shape of the orange), we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( \pi \) is approximately 3.14.
Given that the radius of the orange is 1.4 inches, we can substitute this value into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (1.4)^3 \]
First, we calculate \( (1.4)^3 \):
\[ (1.4)^3 = 1.4 \times 1.4 \times 1.4 = 2.744 \]
Now, we can substitute that back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 2.744 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now we multiply this by \( 2.744 \):
\[ V \approx 4.1867 \times 2.744 \approx 11.49 \]
Thus, the approximate volume of the orange is \( 11.49 \) cubic inches.
The correct answer is:
D. 11.49 cubic inches.