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3 years ago

Is anyone good at geometry if so can someone help me please ?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

8 0

Answer: 11.7

Step-by-step explanation: b=2(A/h)=2(49.1/8.4)=11.69

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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

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

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

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

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

Kim got a prize point for every four raffle tickets she sold. She sold 362 raffle tickets. How many prize points did she get?

Diano4ka-milaya [45]

Answer:90 1/2

Step-by-step explanation:

She sold 362 tickets

She gets prize point for every 4 tickets

3 0

3 years ago

If you flip two coins 76 times, what is the best prediction possible for the number of times both coins will land on tails?

ioda

Answer:

38 times

Step-by-step explanation:

A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)

Hope this helps :)

3 0

3 years ago

Is 0.032 a terminating decimal

svp [43]

I don’t think it is, sorry I’m not 100% sure, good luck though

3 0

4 years ago

Plese i need help on this one !!!!!!!

patriot [66]

Answer:

I got 32.

Step-by-step explanation:

I used the Pythagorean theorem to find the lengths of the width and length. The length between (-1, 4) and (3, 3) was approximately 4 in. The distance between (-1, 4) and (-3, -4) was approximately 8 in. I then used those numbers to find the perimeter ((2*4)+(2*8))

8 0

3 years ago

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