Consider the Region Bounded by the X-Axis, the Line X $y=x^{2}$

Multiple Choice

Consider the region bounded by the x-axis, the line x = 1, the line x = 4, and the curve $y=x^{2}$ .Imagine that this region is the base of a solid.Each cross-section of this solid perpendicular to the x-axis is a triangle of height H . The volume of this solid can be found exactly and can be written as $\frac{H B}{6}$ .What is B?

A) $63$
B) $15$
C) $3$
D) $64$