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Denebel

  • 4 years ago

A solid has a circular base of radius 3. If every plane cross section perpendicular to the x- axis is an equilateral triangle, the. It's volume is..

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  1. experimentX
    • 4 years ago
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    ??? couldn't picture at all

  2. Denebel
    • 4 years ago
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    *then, it's volume is ...

  3. TuringTest
    • 4 years ago
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    |dw:1334049066451:dw|imagine a bunch of triangles popping out in the z-direction

  4. dumbcow
    • 4 years ago
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    circle: x^2 + y^2 = 9 --> y = sqrt(9-x^2) |dw:1334048930933:dw| volume is sum of all the areas of the triangles area = sqrt3/4 *(2y)^2 = sqrt3 y^2 = sqrt3(9-x^2) \[V = \sqrt{3}\int\limits_{-3}^{3}(9-x^{2}) dx\]

  5. TuringTest
    • 4 years ago
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    ^what dumbcow said|dw:1334049136750:dw|

  6. Denebel
    • 4 years ago
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    Oh I see! Thanks.

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