Answer:
Volume of cylinder = 
Step-by-step explanation:
Given : A cylinder fits inside a square prism.
To find : The volume of cylinder
Solution : Refer the attached graph.
Area of circle = 
Area of square = 
Side of square = diameter of circle= 
Diameter = 2r
∴ Area of square= 
Area of circle is 
of area of square.
Volume is always = area × height
Volume of prism = Area of square × h = 
Volume of cylinder = Area of circle × h =
Now, rate
⇒Volume of cylinder is of Volume of prism.
Volume of Cylinder =
Volume of cylinder = 
Volume of cylinder =
Answer:
92832-31504=61328...........
Answer:
1) f(g(-2))=-3, 2) g(f(0))=5
Step-by-step explanation:
1)f(g(-2))
First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.
Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.
Therefore, f(g(-2))=-3
2) g(f(0))
In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.
Next, we must look at the table and see that, when x=1, g(1)=5. Hence,
g(f(0))=5
Side a is 13 when using the pythagorean theorem
a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13
