Answer:
square root 1681-967.21
Step-by-step explanation:
use pythagorean therom
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,
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.
A would be the answer.
Step-by-step:
Pythagorean theorem-
a^2+b^2=c^2
24^2+45^2=c^2
576+2025=c^2
2601=c^2
square 2601= square c^2
51=c
To answer this question you will use the Pythagorean Theorem. a^2+b^2=c^2. In this case a and b are the same because it is a square. So 2x^2=1600 (c^2 where c=40). Solve this equation ( divide both sides by two and find the square root for both). Each side length should be approximately 28.3 cm.