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Cones and Pyramids HW
Question 1
A pentagonal pyramid has volume 30 ft3 and height 16 ft, find the area of its base.
Question 2
A oblique pyramid has volume 20 cm3 and the area of the base is 4.5 cm2, find the height of the
oblique pyramid.
Question 3
A square pyramid has volume 40m3. The cone is sliced by a plane parallel to the base at a height
equal to 3/5 the total height of the pyramid. Find the volume of the smaller pyramid.
Question 4
Find the volume of a cone whose vertex is the center of a sphere of radius 5 and whose base is
the intersection of this sphere with a plane 3 units away from the sphere’s center.