The volumes of two spheres are 729 in3 and 27 in3
To find the radius of the spheres, we can use the formula for the volume of a sphere:
V = (4/3)πr^3
We are given the volumes of two spheres, V1 = 729 in^3 and V2 = 27 in^3.
For the first sphere (sphere 1), we have:
729 = (4/3)πr1^3
To find the radius, we can rearrange the equation:
r1^3 = (3/4)(729/π)
r1^3 = 243/π
r1 = (243/π)^(1/3)
Now, let's calculate the value of r1:
r1 = (243/π)^(1/3)
r1 ≈ 6
For the second sphere (sphere 2), we have:
27 = (4/3)πr2^3
Again, we can rearrange the equation to find the radius:
r2^3 = (3/4)(27/π)
r2^3 = 9/π
r2 = (9/π)^(1/3)
Now, let's calculate the value of r2:
r2 = (9/π)^(1/3)
r2 ≈ 2
Therefore, the radius of sphere 1 is approximately 6 inches, and the radius of sphere 2 is approximately 2 inches.