The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is equal to 20 cm?

So the radius is increasing at .

This is approximately 0.00497 cm/min that the radius is increasing.  

Step-by-step explanation:

The volume and radius are both things that are changing with respect to time.

So their derivatives will definitely not be 0.

Let's differentiate:

I had to use constant multiple rule and chain rule.

We are given and .

We want to find .

Let's plug in first:

Multiply both sides by 3:

Divide both sides by :

So the radius is increasing at .

This is approximately 0.00497 cm/min that the radius is increasing.  

1/64pi cm/min or 0.00497 cm/min

Step-by-step explanation:

dV/dr = 4pi×r²

At r = 20, dV/dr = 1600pi

dr/dt = dr/dV × dV/dt

dr/dt = 1/1600pi × 25

dr/dt = 1/64pi cm/min

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

wth is with the little mtn top and what are you talking about like fix your words and accually make sence with them and i like was in a completly different question like three times like it seems like your ilitteret