How much water is in a spherical shaped fish tank with a radius of 3 in. if it is filled to the top?

answers:

113.10 in^3

63.62 in^3

12.57 in^3

123.15 in^3

1 answer

To find the volume of a spherical fish tank, you can 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 the radius \( r = 3 \) inches:

\[ V = \frac{4}{3} \pi (3)^3 \] \[ = \frac{4}{3} \pi (27) \] \[ = \frac{108}{3} \pi \] \[ = 36 \pi \]

Now, using the approximate value of \( \pi \approx 3.14 \):

\[ V \approx 36 \times 3.14 = 113.04 , \text{in}^3 \]

The closest answer to this calculation is:

113.10 inĀ³.