Respuesta :

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.