Answer:
The rate of change of radius is 0.0530 ft/sec.
Step-by-step explanation:
Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
To find : How fast is the radius increasing after 2 minutes?
Solution :
The volume of the sphere is 
Differentiating w.r.t. r,
We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
i.e. 
Integrate w.r.t. t,
Assuming V=0 when t=0 then C=0
So, 
![r=\sqrt[3]{\frac{t}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bt%7D%7B4%5Cpi%7D%7D)
Now, we apply chain rule
i.e. 
The radius increasing after 2 minutes i.e. at 
Therefore, the rate of change of radius is 0.0530 ft/sec.
Answer:
False
Step-by-step explanation:
Well it's True in a way, but they didn't simplify all the way. Correct simplification would be 1/3
Answer:
3 figures
Step-by-step explanation:
Just follow these steps!
Non-zero digits are always significant.
Any zeros between two significant digits are significant.
A final zero or trailing zeros in the decimal portion ONLY are significant.
Answer:
it is 55%
Step-by-step explanation:
I think it is 55 %
Answer:
Meter
Step-by-step explanation:
The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).
