Answer:
The volume of radius is × π × radius³ Proved
Explanation:
Given as :
We know that volume of sphere is v = × π × radius³
Or, v = × 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
<u>From Pythagorean theorem</u>
x² + z² = r²
Or, x² = r² - z²
Or, x =
Now, Area of shaded disk = Area = π × x²
Where x is the radius of disk
Or, Area of shaded disk = π × () ²
∴ Area of shaded disk = π × (r² - z²)
Again
<u>If we calculate the area of all horizontal disk, we can get the volume of sphere</u>
So, we simply integrate the area of all disk from - r to + r
i.e volume =
Or, v = -
Or, v = π r² (r + r) - π
Or, v = π r² (r + r) - π
Or, v = 2πr³ - π
Or, v = 2πr³ ()
Or, v = 2πr³ ×
∴ v = × π × r³
Hence, The volume of radius is × π × radius³ Proved . Answer
Answer:
a
Explanation:
an object stays in motion until a force changes that
I'm going to quote something that might help you...
"The Doppler effect is the apparent change in the frequency of a wave motion when there is relative motion between the source of the waves and the observer. Well known examples include the change in pitch of an ambulance or police siren, as it approaches and then recedes from you, or the same effect from a passing train."
This is not mine I am simply quoting something that might help you.