What is the volume of a sphere with a diameter of 5 in? Round your answer to the nearest hundredth of a cubic inch.

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

if the sphere has a diameter of 5, then its radius is half that, or 2.5.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}$

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What are all the solutions to the following<br> equation?<br> |10x + 2| =48

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$\huge \boxed{\mathfrak{Question} \downarrow}$

What are all the solutions to the following

equation?

|10x + 2| =48

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$| 10 x + 2 | = 48$

Combine like terms and use the properties of equality to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.

$|10x+2|=48$