Mathematics, 18.07.2019 01:30 Alphonse8472

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Keeping in mind that, the diameter of A is 24, thus its radius is 12, and B's diameter is 22, thus its radius is 11.

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad \qquad \qquad \qquad 
\begin{array}{llll}
\stackrel{\textit{volume of cylinder A}}{\pi(12^2)(18) }\implies 2592\pi 
\\\\\\
\stackrel{\textit{volume of cylinder B}}{\pi(11^2)(20) }\implies 2420\pi 
\end{array}$

how much is left? well 2592π - 2420π, that much.

Answer from: dion27

Container A is completely full while container B has nothing in it.

When container B is completely full after the pumping, the volume of water left in container A will be equivalent to the volume of container A subtracted by the volume of container B.

The volume of any right cylinder is $\pi r^2 h$ where r is the radius and h is the height of the cylinder.

The diameters of the cylinders are given. The radius is half of the diameters.
The radius of container A is 24/2, or 12. The radius of container B is 22/2, or 11.

$\text{Volume of Container A}= \pi r^2 h = \pi \times 12^2 \times 18$
$\approx 8138.88$

$\text{Volume of Container B}= \pi r^2 h = \pi \times 11^2 \times 20$
$\approx 7598.8$

Now, subtract the two volumes.

$\text{Volume of Container A} - \text{Volume of Container B} = 540.08$

Rounding this to the nearest tenth of a cubic foot will give 540.1 cubic feet. Thus, container A will have approximately 540.1 cubic feet of water after container B is completely full.

Answer from: Quest

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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