What is the relationship between the volume of the tetrahedron defined by the vectorsb\ c\ ^2 , b2 , Q 1 1 1and the area of the triangle with vertices(See Exercises 4 and 5.) Explain this relationship geometrically. Hint: Consider the top face of the tetrahedron.

L22 - 9 ex. The radius of a sphere is determined using an instrument with a possible error in measurement of at most 0.03in. If the instrument ﬁnds the radius of a sphere to be 12 inches, what is the maximum error that can occur in using that measurement to ﬁnd the volume of the sphere ∆V Relative error: ≈ V Percentage error: