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bogdanovich [222]
3 years ago
8

What is the volume of this sphere?

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

V=2143.57\ mm^3

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3

Put all the values,

V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3

So, the volume of the sphere is equal to 2143.57\ mm^3.

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Can anyone figure this out?
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\bf D(\stackrel{x_1}{6}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_1}{-3}~,~\stackrel{y_1}{10}) \\\\\\ DN=\sqrt{(-3-6)^2+(10+1)^2}\implies DN=\sqrt{202}


now that we know how long each one is, let's plug those in Heron's Area formula.


\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{130}\\ b=4\\ c=\sqrt{202}\\[1em] s=\frac{\sqrt{130}+4+\sqrt{202}}{2}\\[1em] s\approx 14.81 \end{cases} \\\\\\ A=\sqrt{14.81(14.81-\sqrt{130})(14.81-4)(14.81-\sqrt{202})} \\\\\\ A=\sqrt{324}\implies A=18

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Step-by-step explanation

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