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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Answer:
correct answer is narrow
Explanation:
solution
when we pass someone riding bicycle ahead you then we should decrease our speed and increase the distance between you and bicyclist
and we should ride on road with very predictable manner and we should ride in straight line and if If road is too narrow for a bicycle
then we should ride vehicle to travel side by side so bicyclist should occupy lane until it safe
so here correct option is narrow
Answer:
Focal length, f = 16 cm
Explanation:
Image distance, v = 24 cm
Object distance, u = -48 cm
We need to find the focal length of the lens. It can be determined using the lens formula as :
f = 16 cm
So, the focal length of the converging lens is 16 cm. Hence, this is the required solution.
The mathematical definition of work (W) is force (F) multiplied by distance (x). In order to determine the distance for fixed force and work the above equation needs to be rearranged to make x the subject. The work divided by the force is equal to the distance. In this case the mother can push the baby carriage by a distance equal to 2920 divided by 62, which is 47.1 metres.
