Identify the volume of a sphere with surface area 144π m2. Give your answer in terms of π.

1 answer:

4 0

$\bf \textit{surface area of a sphere}\\\\ SA = 4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=144\pi \end{cases}\implies 144\pi =4\pi r^2\implies \cfrac{144\pi }{4\pi }=r^2 \\\\\\ 36=r^2\implies \sqrt{36}=r\implies \underline{6}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi (\underline{6})^3}{3}\implies V=288\pi$

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Answer:

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$R = \{-7,0,4\}$ -- Range

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Step-by-step explanation:

Given

$D = \{-2,-1,3,5\}$

$R = \{-7,0,4\}$

Required

State the domain and range

Determine if the relation is a function

From the question, we have the domain and range as:

$D = \{-2,-1,3,5\}$ -- Domain

$R = \{-7,0,4\}$ -- Range

Next, is to determine if the relation is a function or not.

Yes, it is a function.

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The number of elements in the range is 3

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vesna_86 [32]

Answer: Option C

$a> 0$

Step-by-step explanation:

The graph shows a radical function of the form $f(x)=a(x+k)^{\frac{1}{n}}+c$

Where n is a positive number.

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