To find the radius of a globe (a sphere) given its volume, 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. Given that the volume \( V \) is 904.78 cubic inches, we can set up the equation:
\[ 904.78 = \frac{4}{3} \pi r^3 \]
To solve for \( r \), we first rearrange the equation:
\[ r^3 = \frac{904.78 \times 3}{4 \pi} \]
Now, calculating the right-hand side:
\[ r^3 = \frac{904.78 \times 3}{4 \times 3.14159} \] \[ r^3 \approx \frac{2714.34}{12.56636} \approx 216.22 \]
Next, take the cube root of both sides to find \( r \):
\[ r \approx \sqrt[3]{216.22} \approx 6.00 \text{ inches} \]
Thus, the radius of the globe is approximately 6 inches.