8 min read
This study guide covers calculating volumes of solids with known cross-sections using integration. It focuses on solids with square and rectangular cross-sections. Examples demonstrate how to set up the integral, determine the bounds, and calculate the volume using representative cross-sections perpendicular to the x-axis and y-axis. The key formula used is V = ∫[a,b] A(x) dx , where A(x) represents the cross-sectional area.
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Question 1 of 9
The volume of a solid with known cross-sections is found using the formula . What does represent in this formula? 🤔
The area of the base of the solid
The perimeter of a cross-section
The area of a cross-section perpendicular to the x-axis
The volume of a single slice of the solid