Answer:
Approximate radius of the given hemisphere is 3 in.
Step-by-step explanation:
Formula to calculate the volume of a hemisphere is given by,
V = [tex]\frac{2}{3}\pi r^{3}[/tex]
Since, volume of the given hemisphere in the picture = 56.52 in²
By substituting the value of V in the formula,
56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]
Now solve the expression for the value of 'r',
r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]
r³ = 26.99
r = ∛(26.99)
r = 3 in.
Therefore, approximate radius of the given hemisphere is 3 in.