Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.
I would multiply both sides by negative one and then take the smaller of the two variables and subtract that from both sides, simplify and solve.
The hyperbola is more or less as in the picture below
notice the traverse axis is horizontal, meaning the positive fraction will be the one with the "x" variable in it, and notice the length of the "a" component
the conjugate axis is 10, notice the length of the "b" component
thus
![\bf \textit{hyperbola with horizontal traverse axis }\\\\ \cfrac{(x-{{ h}})^2}{{{ a}}^2}-\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1 \qquad center\ ({{ h}},{{ k}})\qquad vertices\ ({{ h}}\pm a, {{ k}})](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bhyperbola%20with%20horizontal%20traverse%20axis%20%7D%5C%5C%5C%5C%0A%5Ccfrac%7B%28x-%7B%7B%20h%7D%7D%29%5E2%7D%7B%7B%7B%20a%7D%7D%5E2%7D-%5Ccfrac%7B%28y-%7B%7B%20k%7D%7D%29%5E2%7D%7B%7B%7B%20b%7D%7D%5E2%7D%3D1%0A%5Cqquad%20center%5C%20%28%7B%7B%20h%7D%7D%2C%7B%7B%20k%7D%7D%29%5Cqquad%0A%20vertices%5C%20%28%7B%7B%20h%7D%7D%5Cpm%20a%2C%20%7B%7B%20k%7D%7D%29)
so, hmmmm plug in those values
Answer: Option(D) is the correct option
Explanation:
Natural pairings defines coupling of data sets or sample is possible to take place in a particular condition naturally.These samples depend on each other for matching.
According to the question ,cholesterol level of 90 men is being assessed prior and after treatment takes place.Thus,same 90 men are going through drug testing in natural pair form and showing sample dependency before and afterwards of treatment.Thus, further analysis is based upon natural paired data.
Other options are incorrect because sample in the question are not independent due to the link between them and they do persist natural pairing with each other.Thus, the correct option is option(D).