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2 years ago

15

Assuming the average composition of air weighs approximately 0.0807 lbs per cubic foot, what is the weight of air in a giant sph

erical balloon with a diameter of 6 feet?

2 answers:

Illusion [34]2 years ago

8 0

Answer:

It's 9lbs

Step-by-step explanation:

Paraphin [41]2 years ago

4 0

Id say its 64 hope this helps

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2 years ago

This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

THis is the answer.

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2 years ago

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Convert 510° from degrees to radians

vitfil [10]

Answer:

$\frac{17\pi }{6}$

Step-by-step explanation:

To convert from degrees to radians

radian = degree measure $\frac{\pi }{180}$

= 510 × $\frac{\pi }{180}$

= $\frac{51\pi }{18}$

= $\frac{17\pi }{6}$ radians

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