Volume with Equilateral Triangle Cross Sections

Question

The base of a solid is the region enclosed by the graph of $$y = \ln(x)$$, the $$x$$-axis, and the lines $$x = 1$$ and $$x = e$$. If the cross sections of the solid perpendicular to the $$x$$-axis are equilateral triangles, what is the volume of the solid?

Accepted Answer

$$\displaystyle \frac{\sqrt{3}(e-2)}{4}$$

Answer

$$\displaystyle \frac{\sqrt{3}(e-1)}{4}$$

Answer

$$\displaystyle \frac{\sqrt{3}}{4}$$

Answer

$$\displaystyle \frac{\sqrt{3}e}{4}$$

Rank	User	Attempt Count	Total Time	Score
#1	celine80801	1	0m 00s	-10
#2	alexaserrano2008	1	0m 00s	-10
#3	haneesh19.12	2	0m 00s	-20

Volume with Equilateral Triangle Cross Sections

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