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A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #8 # and #1 # and the pyramid's height is #4 #. If one of the base's corners has an angle of #pi/3#, what is the pyramid's surface area?
A parallelogram has sides of lengths 6 and 4, and one angle is 43°. What is the length of the smaller diagonal? What is the length of the longer diagonal?
A parallelogram has sides of lengths 8 and 7, and one angle is 65°. Find the lengths of the diagonals. (Round your answers to two decimal places. Enter your answers as a comma-separated list.)
A solid cone of height h and base radius r rests with its base on a surface. What is the angle with which it could be inclined on the slated sides without the cones equilibrium being disturbed. The center of gravity of the cone is at h/4 from the base.