The region in the first quadrant bounded by the x-axis, the line x = In(pi), and the curve y = sin(ex) is rotated about the x-axis. What is the volume of the generated solid? (5 points) 0.906
0.795
2.846
2.498​

D

Step-by-step explanation:

Please refer to the graph below.

So, we want to find the volume of the solid generated by revolving the green area about the x-axis.

We can use the disk method. The disk method is given by:

Where R(x) is the radius or height of the representative rectangle.

We are integrating from x = 0 to x = ln(π). The height of a representative rectangle is given by y. Therefore, the volume is:

Simplify:

Approximate. So, the volume of the generated solid is:

The solid is shown in the second figure.

(Courtesy of WolframAlpha.)

45

step-by-step explanation:

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation: