Question

Cross sections perpendicular to the x-axis are semicircles with radius s(x), where s(x)=x+8 and 0<=x<=3. Which integral gives the volume?

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Accepted Answer

$$\int_{0}^{3} \frac{\pi}{2}(x+8)^{2}\,dx$$

Answer

$$\int_{3}^{0} \frac{\pi}{2}(x+8)^{2}\,dx$$

Answer

$$\int_{0}^{3} (x+8)\,dx$$

Answer

$$\frac{1}{3}\int_{0}^{3} \frac{\pi}{2}(x+8)^{2}\,dx$$

Practice: Integration - Known Cross Sections to Volume Setup