0.119cm/s is the radius of the balloon increasing when the diameter is 20 cm.
<h3>How big is a circle's radius?</h3>
The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.
A circle's diameter cuts through the center and extends from edge to edge, in contrast to a circle's radius, which extends from center to edge. Essentially, a circle is divided in half by its diameter.
dv/dt = 150cm³/s
d = 2r = 20cm
r = 10cm
find dr/dt
Given that the volume of a sphere is calculated using
v = 4/3πr³
Consider both sides of a derivative
d/dt(v) = d/dt( 4/3πr³)
dv/dt = 4/3π(3r²)dr/dt = 4πr²dr/dt
Hence,
dr/dt = 1/4πr².dv/dt
dr/dt = 1/4π×(10)²×150
dr/dt = 1/4π×100×150
dr/dt = 0.119cm/s.
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To claculate the gravitational attraction between two bodies with mass 1(m1) and mass 2 (m2) you need to use the equation:
F= G ((m1*m2)/r^2)
Where;
G is the gravitational constant (6.67E-11 m^3 s-2 Kg-1) and
r is the distance between the two objects.
Coefficient of performance or more commonly known as COP is calculated through the equation,
COP = ((T₂)/(T₂ - T₁))
where T₂ is the hot temperature and T₁ is the cold temperature. Similarly, these can also be,
COP = heat ejected / (heat ejected - heat provided)
Substituting,
COP = 22,000 / (22,000 - 15,000) = 3.14
Thus, the value of the COP is approximately 3.14.
Since Jason plays a lot of sports <em>(D)</em>, there's a good chance that he has developed a greater-than-average lung capacity. This is a good thing.
temperature decreases at higher altitudes because as air rises the pressure decreases.
