Answer: 4.5ft
Step-by-step explanation:
The volume of a sphere = 4/3πr³
This is question on solid shapes.
Since the volume of the sphere = 121.5πft³ meaning that π was not defined.
Now to get the radius of the sphere, we equate the formula above to the value and now solve for r making it the subject of the formula.
(4/3)πr³ = 121.5π
Now we shall try and make the equation a linear expression by multiplying through by 3 which is the denominator. It now becomes
4πr³ = 121.5π x 3
4πr³ = 364.5π
Now we divide through by π because it is common,
4r³ = 364.5 , again divide by 4,
r³ = 91.125 , now to find the true r, we take the cube root of both side ,( recall, laws of indicies )
r = 3√91.125
= 4.5ft.
Therefore the radius of the sphere is 4.5ft.
