When a conical bottle rests on its flat base, the water in the bottle is 8 cm from the cone's vertex, When the same conical bottle is turned upside down, the water surface is 2 cm from the flat base.
What is the height of the bottle?
Volume of cone - Volume of the empty portion of cone = Volume of water = Volume of the cone made of water (2nd diagram) Simplifying yields the height of the bottle = 10.2195.
A cylindrical vessel of diameter 4cm is partly filled with water and 300 lead balls are dropped into it which increases its level by .8 cm. What is the diameter of each ball?
An empty wine bottle has a volume of 750 cubic centimeters. It has a height of 27 cm and a base diameter of 8 cm. It is shaped like a cylinder except for a dimple punt at the bottom and its shoulder and neck area at the top. The bottle is made of a thin plastic so its thickness can be ignored. The bottle on its base is filled with liquid, and the liquid measures 14 cm from the base to the middle. The bottle is turned upside down, and the liquid measures 19 cm from the neck to the middle section. What is the volume of the liquid?
A square pyramid has base PQRS and vertex O. Each edge has length equal to 20. Calculate the shortest distance along the outer surface of the pyramid from P to T, the midpoint of OR.
