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3 years ago

HELP NOW PLEASE ANSWER THE QUESTION THE PICTURE IS ATTACHED BELOW

Physics

1 answer:

Andrej [43]3 years ago

7 0

Answer:

Explanation:

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How to prove formula for volume of a sphere ?

atroni [7]

Answer:

The volume of radius is $\frac{4}{3}$ × π × radius³ Proved

Explanation:

Given as :

We know that volume of sphere is v = $\frac{4}{3}$ × π × radius³

Or, v = $\frac{4}{3}$ × π × r³

Let prove the volume of sphere

So, From the figure of sphere

At the height of z , there is shaded disk with radius x

Let Find the area of triangle with side x , z , r

From Pythagorean theorem

x² + z² = r²

Or, x² = r² - z²

Or, x = $\sqrt{r^{2}-z^{2} }$

Now, Area of shaded disk = Area = π × x²

Where x is the radius of disk

Or, Area of shaded disk = π × ( $\sqrt{r^{2}-z^{2} }$ ) ²

∴ Area of shaded disk = π × (r² - z²)

Again

If we calculate the area of all horizontal disk, we can get the volume of sphere

So, we simply integrate the area of all disk from - r to + r

i.e volume = $\int_{-r}^{r} \Pi(r^{2}-z^{2} )dz$

Or, v = $\int_{-r}^{r} \Pi r^{2}dz$ - $\int_{-r}^{r} \Pi z^{2}dz$

Or, v = π r² (r + r) - π $\frac{r^{3} -(-r)^{3})}{3}$

Or, v = π r² (r + r) - π $\frac{2r^{3}}{3}$

Or, v = 2πr³ - π $\frac{2r^{3}}{3}$

Or, v = 2πr³ ( $\frac{3-1}{3}$ )

Or, v = 2πr³ × $\frac{2}{3}$

∴ v = $\frac{4}{3}$ × π × r³

Hence, The volume of radius is $\frac{4}{3}$ × π × radius³ Proved . Answer

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3 years ago

A 1.50 kg cart moves in a circular path of 1.30 m radius at a constant speed of 2.00 m/s. (a) Calculate the magnitude of the cen

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the answer is 1500 because of the internet

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What is moongphaliwala?

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(OUR

natta225 [31]

George's speed per second is 76.92 m/s

George's velocity in meters per second was 38.46 m/s (North)

Explanation:

When dividing the total distance covered by object by time, we get the value for average speed.

$\text { speed }=\frac{\text {distance}}{\text {time}}$

Given:

t = 13 seconds

Calculate the distance without consideration of motion’s direction. So, the distance walks 750 m north first, and then turn around walks 250 m south, so the total distance covered is

d = 750 + 250 = 1000 meters

To find the rate per second, simply divide the distance by the time.

$\text { speed }=\frac{1000}{13}=76.92 \mathrm{m} / \mathrm{s}$

In given case, the students walks 750 m north first, and then turn around walk 250 m south. The displacement is the distance in a straight line between the initial and final position: therefore, in this case, the displacement is

d = 750 (north) - 250 (south) = 500 m (north)

The time taken is t = 13 s

So, the average velocity is $\text {velocity}=\frac{500}{13}=38.46 \mathrm{m} / \mathrm{s}$ (North)

And the direction is north (the same as the displacement).

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A Star's Apparent magnitude is a measure of

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C. How bright it seems to us

Explanation:

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