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Sav [38]
2 years ago
14

GEOMETRY HELP!! FIND THE VOLUME IN TERMS IF PI !!! EXPLAIN PLEASE!!

Mathematics
1 answer:
Dafna1 [17]2 years ago
5 0

\bf \textit{surface area of a sphere}\\\\
SA=4\pi r^2~~
\begin{cases}
r=radius\\[-0.5em]
\hrulefill\\
SA=400\pi \end{cases}\implies 400\pi =4\pi r^2\implies \cfrac{400\pi }{4\pi }=r^2
\\\\\\
100=r^2\implies \sqrt{100}=r\implies \boxed{10=r}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~\hspace{7em}V=\cfrac{4\pi \boxed{10}^3}{3}\implies V=\cfrac{4000\pi }{3}

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The points on the graph of the inverse variation are of the form:

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<h3>Which ordered pairs are on the graph of the function?</h3>

An inverse variation function is written as:

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Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

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And so on.

If you want to learn more about inverse variations:

brainly.com/question/6499629

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Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
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To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
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2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

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Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

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