AP Calculus AB 8.8 Cross-Section Volumes Review

Review AP Calculus AB 8.8 by expressing triangular or semicircular cross-sectional area and integrating that function across the stated interval.

Exam points

model cross-sectional area as a function of position
integrate cross-sectional area to find a solid’s volume

Covered syllabus points

CHA-5.B—Calculate volumes of solids with known cross sections using definite integrals—Topic 8.8

[Maximum number: 1]

The base of a solid is a right triangle with legs of length 6 and 16, as shown in the figure. The hypotenuse of the triangle is given by the line $y=-\frac{3}{8}(x-16)$ . Each cross section of the solid perpendicular to the x-axis is a semicircle. What is the volume of the solid?

398

796

593

186

Figure for Question 8.8 Volumes with Cross Sections: Triangles and Semicircles question 1 — AP Calculus AB

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Covered syllabus points

8.8 Volumes with Cross Sections: Triangles and Semicircles question 1