If a right triangle has legs 6 and 8, its hypotenuse is 10. The triangle will be inscribed
within a circle with area 25pie . (The hypotenuse will be the diameter of the circle.)
A. Suppose one leg of the triangle is known to be exactly 6, but the other leg is known to
be 8 with an error of +/- h . What are x, f(x), and a in this problem?
B. Use a tangent line approximation to estimate the area of the circumscribed circle.

Question

If a right triangle has legs 6 and 8, its hypotenuse is 10. The triangle will be inscribed 
within a circle with area  25pie . (The hypotenuse will be the diameter of the circle.) 
A. Suppose one leg of the triangle is known to be exactly 6, but the other leg is known to 
be 8 with an error of +/- h . What are x, f(x), and a in this problem?
B. Use a tangent line approximation to estimate the area of the circumscribed circle.

anonymous · Answer

Now consider the sphere that just contains the triangle (so the hypotenuse is the diameter of the sphere). Use a tangent line approximation to estimate the volume of this sphere.
this is my calculus hw please help!