Medal

Calculate the approximate weight of the gold Olympics medal, if its diameter is 8 cm and a thickness 6 mm. The density of gold find out in the tables or on the Internet.

Result

m =  582.07 g

Solution:

$\rho = 19.30 \ g·cm^{−3} \ \\ m = V \rho = \pi r^2 h \rho = \pi \cdot (8/2)^2 \cdot (6/10) \cdot 19.3 = 582.07 \ \text{ g }$

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

1. Total displacement
   Calculate total displacement of the 4-cylinder engine with the diameter of the piston bore B = 6.6 cm and stroke S=2.4 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back
2. Diameter of a cylinder
   I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm.
3. Common cylinder
   I've quite common example of a rotary cylinder. Known: S1 = 1 m², r = 0.1 m Calculate : v =? V =? You can verify the results?
4. Cylinder surface area
   Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area.
5. Lid
   What is the weight of concrete cover (lid) to round shape well with a diameter 1.8 m, if the thickness of the cover is 11 cm? 1 m³ of concrete weighs 2190 kg.
6. Railway wagon
   The railway wagon holds 75 m³ load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
7. Giant coin
   From coinage metal was produced giant coin and was applied so much metal, such as production of 10 million actual coins. What has this giant coin diameter and thickness, if the ratio of diameter to thickness is the same as a real coin, which has a diameter
8. Garden pond
   Concrete garden pond has bottom shape of a semicircle with a diameter 1.7 m and is 79 cm deep. Daddy wants make it surface. How many liters of water is in pond if watel level is 28 cm?
9. Water level
   How high reaches the water in the cylindrical barell with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
10. Conva
    How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
11. Container
    The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
12. Rain
    How many mm of water rained the roof space 75 m² if the empty barrel with a radius of 8 dm and height 1.2 m filled to 75% its capacity? :-)
13. Sportsman
    A trained athlete is able to exhale after a deep breath still 500 ml of air. At normal inhalation and exhalation is breathing 500 ml of air. Within one minute, one breath and exhaled 14 times. What part of breathing air per day is one exhalation?
14. Water well
    Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
15. A pipe
    A radius of a cylindrical pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
16. Circular pool
    The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
17. Shots
    Determine the percentage rate of keeper interventions if from 32 shots doesn't caught four shots.