How many droplets of water are in a river that is 100 km long, 290 m wide, and 29 m deep? Assume a droplet is 1 milliliter. (Note: one liter equals one cubic decimeter and 10 decimeters equals 1 meter.)
Express you answer in scientific notation.
841000000(1000000)=8.41^14/8.41^13
But it says I'm wrong please help
volume=width*hight*lenght
volume=100, 100m*290*29m
volume=29000029m^3
icubic meter=1000,000meter
then there is 29000029
cubic meter
2.9000029*10^13
1 m = 10 dm
1 km = 1,000 m = 10,000 dm
100 km * 290 m * 29 m =
100 * 10,000 dm * 290 * 10 dm * 29 * 10 dm =
( 1,000,000 * 2,900 * 290 ) dm ^ 3 =
( 10 ^ 6 * 2.9 * 10 ^ 3 * 2.9 * 10 ^ 2 ) dm ^ 3 =
( 10 ^ 6 * 10 ^ 3 * 10 ^ 2 ) * ( 2.9 * 2.9 ) dm ^ 3 =
( 10 ^ 11 * 2.9 ^ 2 ) dm ^ 3
( 10 ^ 11 * 8.41 ) dm ^ 3 =
8.41 * 10 ^ 11 dm ^ 3 = 8.41 * 10 ^ 11 liters
1 liter = 1,000 ml = 10 ^ 3 ml = 10 ^ 3 droplets
8.41 * 10 ^ 11 * 10 ^ 3 = 8.41 * 10 ^ 14 droplets
volume = (100)(290)(29) km^3
= 841000 km^3
= 8.41 x 10^5 km^3
1 km = 1000 m
1 km^3 = (1000m)^3 = 10^9 m^3
1 m = 1000 mm
1 m^3 = (1000 mm)^3 = 10^9 mm^3
then 1 km^3 = (8.41 x 10^5)(10^9)(10^9) mm^3
= 8.41 x 10^23 mm^3
Reiny
Volume isn't (100)(290)(29) km^3
a river is 100 kilometers long
290 meters wide
and 29 meters deep
1 km = 1000 m
1 m = 1 / 1000 m
290 m = 290 / 1000 = 0.29 km
29 m = 29 / 1000 = 0.029 km
Volume = ( 100 * 0.29 * 0.029 ) km ^ 3 = 0.841 km ^ 3 = 8.41 * 10 ^ - 1 km ^ 3
Bosnian, you are correct, I should look at the units more carefully
Volume= (100)(.290)(.029) km^3
= .841 km^2
etc
thanks for catching my error, the answers seemed unreasonably hight.
To calculate the number of droplets of water in the river, we need to find the volume of the river and then divide it by the volume of a single droplet.
First, let's convert the dimensions of the river into meters:
- Length: 100 km = 100,000 meters
- Width: 290 m (already in meters)
- Depth: 29 m (already in meters)
To calculate the volume of the river, we multiply the length, width, and depth:
Volume = Length x Width x Depth
= 100,000 m x 290 m x 29 m
= 8,410,000,000 m^3
Now, let's convert the volume into milliliters since the size of the droplet is given in milliliters. Remember, 1 liter equals one cubic decimeter (dm^3) and 10 decimeters equals 1 meter:
1 m^3 = 1000 dm^3
1 dm^3 = 1000 cm^3
1 cm^3 = 1 mL
So, to convert the volume from cubic meters to milliliters, we multiply by 1000 three times:
Volume = 8,410,000,000 m^3 x (1000 dm^3/1 m^3) x (1000 cm^3/1 dm^3) x (1 mL/1 cm^3)
= 8,410,000,000 x 10^9 mL
Since a droplet is 1 milliliter, we can divide the volume of the river by the volume of a single droplet:
Number of droplets = Volume of river / Volume of a droplet
= 8,410,000,000 x 10^9 mL / 1 mL
= 8.41 x 10^18 droplets
Therefore, the number of droplets of water in the river is 8.41 x 10^18 in scientific notation.