Answer:
you do realize you're showing your face
Step-by-step explanation:
<span>In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.</span>
Answer:
x=-35
Step-by-step explanation:
Consider the <em>k</em>-th partial sum,

More compactly,

(this is just another case of a similar sum you asked about a while ago [24494877])
The infinite sum is the limit of the partial sum as <em>k</em> goes to infinity. We have

since the non-constant terms in the limit converge to 0.
Alternatively, recall that for |<em>x</em>| < 1, we have

Differentiating both sides gives

also valid for |<em>x</em>| < 1. Take <em>x</em> = 1/<em>π</em> and you get the sum you want to compute.