A bowl is shaped like a hemisphere with radius R centimeters. An iron ball with radius R/2 centimeters is placed in the bowl and water is poured in to a depth of 2R/3 centimeters. How much water was poured in?

Solution Summary

The volume of water poured into a bowl with an iron ball is found in terms of its radius. This is a detailed solution.

1. The small piston of a hydraulic lift has a cross-sectional area of 3.00 cm^2 and its large piston has a cross-sectional area of 200 cm^2. What force must be applied to the small piston for the lift to raise a load of 15.0 kN? (In service stations, this force is usually exerted by compressed air.)
2. Small piston of a hydra

Please see the attachment for a visual depiction of the containers. Please calculate the dilution factors for all five containers and show all the work. Thanks!
Five containers of water, numbered 1 to 5, are placed in a line:
Container #1 contains 5 ml of water.
Container #2 contains 1 ml of water.
Container #3 contains

A bowl of oil and a bowl of water have been placed under a heat lamp. The temperature of each was recorded every 5 minutes in the chart below.
Using the data from the chart can you determine which absorbed more heat energy?
Which has the highest specific heat?
If you were to plot the data on a graph using 2 lines (one fo

1.What data is collected in a titration?
2.How would I be able to find what the volume of 0.10M HCl should be needed to titrate .136 g Na2CO3 according to the reaction equation:
Na2CO3(aqueous) +2HCl(aqueous) 2NaCl(aqueous) + H2O(liquid) + CO2(gas)
3.How would I determine the density of a solid using water di

1. You are given 410.0 mL of a 1.581 M K2CO3 solution. There are ______ moles of
K
+
present in the solution.
2. You are given 83.5 mL of a 2.101 M solution of AgNO3. If all of the water is
allowed to evaporate, then the mass of AgNO3 left in the container is ______ g.
3. If 25.0 mL of a 4.525 M solution of HCl was poure

1). Here is a demonstration Pascal used to show the importance of a fluid's pressure on the fluid's depth.
(See attachment)
An oak barrel with a lid of area 0.20 m^2 is filled withwater. A long, thin tube of cross sectional area 5.00 10^-5 m^2 is inserted into a hole at the center of the lid, and water is poured into t

4. A solid copper ball with a diameter of 3.0000m at sea level is placed on the bottom of the ocean, at a depth of 10.0km. If the density of sea water is 1.03 x 103 kgm"3, how much does the diameter of the ball decrease when it reaches the bottom? The bulk modulus of copper is 14 x 1010Pa.

A cylindrical can is just big enough to hold three tennis balls. The radius of a tennis ball is 5 cm. What is the volume of air that surrounds the tennis balls?