To find the volume of a spherical fish tank, we use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r \) is 3 inches, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (3)^3 \]
Calculating \( (3)^3 \):
\[ (3)^3 = 27 \]
Now substituting back into the volume formula:
\[ V = \frac{4}{3} \pi \times 27 \]
Calculating this gives:
\[ V = \frac{108}{3} \pi \]
\[ V = 36\pi \]
Now, we can use the approximate value of \( \pi \approx 3.14 \):
\[ V \approx 36 \times 3.14 = 113.04 \text{ in}^3 \]
Rounding to two decimal places gives:
\[ V \approx 113.10 \text{ in}^3 \]
So, the volume of the water in the fish tank is approximately:
1. 113.10 in³.
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