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The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
A cylinder and a cone have the same volume
Cylinder has a radius 2 inches and height of 3 inches.
Cone has a radius of 3 inches
Step:1
For Cylinder'
Formula to calculate the volume of cylinder is,
..................................................(1)
where,
r - 2 inches
h - 3 inches
From the equation (1)
=
×
× 3
= 37.70
V = 37.70 cubic inches
Step:2
For cone,
Formula to calculate the volume of cone is,
..................................................(2)
From the statement,
cylinder and a cone have the same volume
= 
37.70 =
×
× 
37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Answer:
(a)

(b)

(c)

Step-by-step explanation:
(a)
Simply evaluate (a+h) in the function:

(b)
Evaluate (a) in the function:

Using the previous answers lets calculate f(a+h)-f(a)

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

Set up the equation:
<u>324</u> = <u> </u><u>x </u>
18 41
(324 * 41)/18 = 738 miles<u />