It is d because albert einstein was physics scienctist
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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FORCE ACTING ON THE BODY , F = 200N
AREA ON WHICH THE FORCE IS ACTING , A = 0.05 CM²
= 0.05*(10⁻²)
= 0.05*10⁻² M²
TO CONVERT CM TO M * BY 10⁻²
PRESSURE = FORCE / AREA
PRESSURE = 200/0.05*10⁻⁴
= 200*10⁴/0.05
= 200*10⁴*10²/5
= 20*10⁵/5
= 4*10⁵ N/M².
HOPE THIS HELPS.
Snake I think idk who asked u this