Find the radius of the sphere with a volume of 3281π cubic yards. Write your answer as a fraction in simplest form.

The radius of the sphere with a volume of 3281π cubic yards - radius in fraction form is 1349/100 cubic yards. and in decimal form is 13.49 cubic yards.

Step-by-step explanation:

Given that the Volume (V) = 3281π cubic yards

We know that the volume of a sphere is (v) = 4/3 (pi) (r) ^3

3281π=4/3π (r) ³

Now we isolate r

3281=4/3r³

3/4*3281=3/4*4/3r³

2460=r³

r=∛2460

r=13.49=1349/100 cubic yards.

hence radius in fraction form is 1349/100 cubic yards. and in decimal form is 13.49 cubic yards.