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.