Answer:
Part a) The volume of the air is 
Part b) The volume of the plastic is 
Step-by-step explanation:
we know that
The volume of the sphere is equal to

step 1
Find the volume of the complete ball (air +plastic)
we have
------> the radius is half the diameter
substitute


step 2
Find the volume of the air
we have that
The plastic is 2 mm thick
Convert to cm
2 mm=2/10=0.2 cm
so
The radius of the interior of the ball is

substitute

-----> this is the volume of the air (interior of the ball)
step 3
Find the volume of the plastic
we know that
The volume of the plastic is equal to the volume of the complete ball minus the volume of the air
so

Neither collinear nor coplanar.
All of the points would have to be on the same line to make them collinear, and they would also have to be on the same plane to make them coplanar. We can see in the diagram that not all of the points are on a line, and that some are at different heights than others.
Answer:
9cm
Step-by-step explanation:
- Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
- By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
- Now we know that QS=PT=8.
- By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
- We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.
Answer:
7t/5^3 + 5t^2 + 4t^3
Step-by-step explanation: