10 Question Unit Practice

Calculus Honors: Applications of Integration

Calculus Honors: Applications of Integration practice with 10 questions across three difficulty levels, including diagram-based reasoning, immediate feedback, and a complete explanation for every answer.

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Calculus Honors: Applications of Integration MCQ Practice

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A solid has base bounded by $\displaystyle y= 0, x= 0$ , and $\displaystyle y= 2- x$ . Cross sections perpendicular to the x-axis are semicircles whose diameters span the base region. What is the volume?

Diagram for this question

\displaystyle \frac{\pi }{3}

\displaystyle \frac{2 \pi }{3}

\displaystyle \frac{4 \pi }{3}

\displaystyle \frac{8}{3}

Calculus Honors: Applications of Integration

Calculus Honors: Applications of Integration MCQ Practice

A solid has base bounded by y=0,x=0\displaystyle y= 0, x= 0y=0,x=0, and y=2−x\displaystyle y= 2- xy=2−x. Cross sections perpendicular to the x-axis are semicircles whose diameters span the base region. What is the volume?

A solid has base bounded by $\displaystyle y= 0, x= 0$ , and $\displaystyle y= 2- x$ . Cross sections perpendicular to the x-axis are semicircles whose diameters span the base region. What is the volume?