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:
A is correct
Step-by-step explanation:
In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.
Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3
Plugging the value of V = 1000cm^3 , we have
1000 = 4/3 * pi * r^3
3000/4pi = r^3
r^3 = 238.732
r = cube foot of 238.732
r = 6.20cm
This is same as 6.2cm
Answer:
17x +215/ 5
Step-by-step explanation:
17x +215
5
Answer:
$461.85
Step-by-step explanation:
Multiply 54x2, 36x4.60, 1.55x75
This comes out to 180, 165.6, and 116.25
Add them all together, and you get 461.85
That's the total amount that he makes weekly
