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
A.chemical energy to heat energy to kinetic energy to electrical energy
The rate of energy radiated by the man is 3.86 x J/s. .
The amount of energy radiated by an object majorly depends on the area of its surface and its temperature. The is well explained in the Stefan-Boltzmann's law which states that:
Q(t) = Aeσ
where: Q is the quantity of heat radiated, A is the surface area of the object, e is the emmisivity of the object, σ is the Stefan-Boltzmann constant and T is the temperature of the object.
To determine the rate of energy radiated by the man in the given question;
= Aeσ
But A = 1.7 m², e = 0.4 and σ = 5.67 x J/s.
So that;
= 1.7 * 0.4 * 5.67 x
= 3.8556 x
= 3.86 x J/s.
Thus, the rate of energy radiated by the man is 3.86 x J/s. .
Learn more on energy radiation of objects by visiting: brainly.com/question/12550129
Answer:
Explanation:
Given data
Speed v=2650 km/h
Radius r=85.0 km
To find
Centripetal Acceleration
Solution
As centripetal acceleration is given as
where
v is velocity
r is the radius
Substitute the given values in eq(i)
675 nM is 675 x 10⁻⁹ meter ... 0.000 000 675 meter .
That's 0.000 067 5 of one centimeter
0.000 675 of one millimeter