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Concept explainers
In Exercises 59−64, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help.
61. Volume of a Cylindrical Tank A cylindrical tank with diameter 20 ft is partially filled with oil to a depth of h feet. Write the volume of oil in the tank as a function of h.
![Check Mark](/static/check-mark.png)
To write: The volume of oil in the tank as a function of
The volume of the tank is equal to
Given information:
A cylindrical tank with diameter
Calculation:
The diameter of the cylindrical tank is
Then the radius of the cylindrical tank is
The depth is
Formula used:
The volume of the tank is given by
Substitute
Hence, the volume of the tank is
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Number 4 plsarrow_forwardGood Day, Would appreciate any assistance with this query. Regards,arrow_forwardThis question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. A B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3t) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot(3πt) sin(3лt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411- 4 -2 sin (3лt) (d)…arrow_forward
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