For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:The answer is B
Step-by-step explanation:
first find te height:
1.5/2=0.75 (this will be your "b" of the pythagorean theorem for finding the height)
now do the pythagorean theorem:
a^2+0.75^2=3^2
(height)= 2.905
A= a^2+2a√((a^2/4)+h^2)
a (base edge)= 1.5
h (height)= 2.905
Calculate and you get B as your answer.
Hope this elpsand you get this right!
57 x .02 will get the right answr
Sorry I was moving around taking the picture and my handwriting is sloppy. But I hope you understand how I got the answer
