Answer: 59.02 square inches
Explanation:
We can use the formulas for the volume and surface area of a sphere to solve this problem.
The formula for the volume of a sphere is:
V = (4/3)πr^3
Where V is the volume, r is the radius, and π is pi (approximately equal to 3.14159).
We know that the volume of the sphere is 33.51 cubic inches, so we can plug that in and solve for the radius:
33.51 = (4/3)πr^3
r^3 = (3/4) * (33.51/π)
r^3 = 10.56
r ≈ 2.17
Now that we know the radius is approximately 2.17 inches, we can use the formula for the surface area of a sphere to find the surface area:
A = 4πr^2
A = 4π(2.17)^2
A ≈ 59.02 square inches
Therefore, the surface area of the sphere is approximately 59.02 square inches.