Question

A fruit bowl contains apples, oranges, and bananas. The radius of one of the oranges is 1.4 inches. What is the approximate volume of the orange? Use 3.14 for .
A.
8.21 cubic inches
B.
24.62 cubic inches
C.
1.44 cubic inches
D.
11.49 cubic inches

Answer 1

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**.