A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #42 # and the height of the cylinder is #10 #. If the volume of the solid is #200 pi#, what is the area of the base of the cylinder?
The area of the base of the cylinder (which is a circle with radius
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The area of the base of the cylinder is ( 25 \pi ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the lengths of the top. The prism's height is #6 #, the cap's height is #4 #, and the cap's radius is #6 #. What is the object's volume?
- A solid consists of a cone on top of a cylinder with a radius equal to the cone. The height of the cone is #6 # and the height of the cylinder is #5 #. If the volume of the solid is #20 pi#, what is the area of the base of cylinder?
- What is the circumference of a circle with a diameter of 50 mm?
- A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #4 # and #7 # and the pyramid's height is #8 #. If one of the base's corners has an angle of #pi/3#, what is the pyramid's surface area?
- An ellipsoid has radii with lengths of #8 #, #6 #, and #4 #. A portion the size of a hemisphere with a radius of #2 # is removed from the ellipsoid. What is the volume of the remaining ellipsoid?

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