What is the volume of the sphere below?

Mathematics

2 answers:

Sindrei [870]3 years ago

3 0

Answer: Option C.

Step-by-step explanation:

The volume of a sphere can be calculated with this formula:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

You can observe in the figure that the value of the radius of this sphere is:

$r=4\ units$

Then you can substitute this radius into the formula $V=\frac{4}{3}\pi r^3$ .

Therefore, the volume of the sphere shown in the figure is:

$V=\frac{4}{3}\pi (4units)^3$

$V=\frac{256}{3}\pi \ units^3$

sergey [27]3 years ago

3 0

Answer:

$\frac{256}{3}$ $\pi$ units³

Step-by-step explanation:

~apex

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Find the area of an equilateral triangle with apothem 7 cm.

lbvjy [14]

So hmm check the picture below

using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half

$\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=14\sqrt{3}
\end{cases}\implies A=\cfrac{(14\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{14^2\cdot 3\sqrt{3}}{4}\implies A=\cfrac{588\sqrt{3}}{4}\implies A=147\sqrt{3}$