Question

(1) Consider the solid S described below. The base of S is the triangular region with...

(1) Consider the solid S described below.

The base of S is the triangular region with vertices (0, 0), (3, 0), and (0, 3). Cross-sections perpendicular to the y-axis are equilateral triangles.

Find the volume V of this solid.
V =

(2)Consider the solid S described below.

The base of S is the triangular region with vertices (0, 0), (1, 0), and (0, 1). Cross-sections perpendicular to the x-axis are squares.

Find the volume V of this solid.
V =

1
1
1 0
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Answer #1

Consider the following triangular region with vertices: (0,0).(3,0), and (0,3) The objective is to find the volume of the sol

Draw the following figure: (0,3) 2 x-0 (0,0) (3.0)

Area of the equilateral tringle is base Find volume Volume- area (v d =14 (base),dy ( The y -limits are 0 to 3 ) 3 (3-y 0-27

3 Therefore, the volume of the solid is

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