Answer:
r = 3 ft
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³.
Here the volume is 36π ft³ (notice, please: it's pi, not pie)
Thus, 36π ft³ = (4/3)πr³
We must solve for r³ and then for r.
Dividing both sides by π results in 36 ft³ = (4/3)r³.
Mult. both sides by (3/4) results in r³ = (3/4)(36 ft³) = 27 ft³
Finally, take the cube root of both sides:
∛(r³) = ∛(27 ft³) ↔ r = 3 ft
The radius, in feet, of the stone sphere, is 3 ft.
We have given that,
r = 3 ft
The volume of 36pie cubic feet.
We have to determine the
What is the radius, in feet, of the stone sphere
The formula for the volume of a sphere of radius r is V = (4/3)πr³.
Here the volume is 36π ft³ (notice, please: it's pi, not pie)
Thus we get,
36π ft³ = (4/3)πr³
We must solve for r³ and then for r.
Dividing both sides by π results in
36 ft³ = (4/3)r³.
Mult. both sides by (3/4) results in
r³ = (3/4)(36 ft³)
r³ = 27 ft³
Finally, take the cube root of both sides:
∛(r³) = ∛(27 ft³)
r = 3 ft
Therefore the radius, in feet, of the stone sphere is 3 ft.
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