I think that the answer is much larger.......
See the pic below....it represents a cross-section of the sphere.....for our puposes....we'll set the radius of the sphere at R
The cut is made at DE with the radius of the cut = CD = .25R thus ...the circumference of the slice is 1/4 that of the circumference of the whole sphere
The "formula" for the volme of a spherical cap is [ pi * H^2 * (3R - H)] / 3
Where H is the height of the cap = the distance measured along the x axis between "C" and the right edge of the circle = R (1 - √15/4) .........
And the voliume of the cap [ with a little computational help from WolframAlpha ] is :
[((2 π)/3 - (11 sqrt(15) π)/64) R^3]
And the volume of the entire sphere is just (4/3) * pi * (R)^3
So......taking the ratio of weights to volumes......the weight of the whole cheese, W, is given by
W/ 5 = [ (4/3)piR^3] / [((2 π)/3 - (11 sqrt(15) π)/64) R^3] solve for W
W = 5 * [ (4/3)piR^3] / [((2 π)/3 - (11 sqrt(15) π)/64) R^3] ≈ 6682.34 lbs.
As Melody often says ; "That is what I think....."