a cylinder filled with hydrogen gas at 20 degree atmosphere can with hold 10litres of water .the spherical balloons are to be filled with hydrogen gas such that the radius of each balloon is 5 centimeter .how many balloon can be filled with hydrogen gas from it .
To find out how many spherical balloons can be filled with hydrogen gas from the given cylinder, we need to calculate the volume of each balloon and then divide the volume of the cylinder by the volume of each balloon.
1. Convert the radius of the balloon from centimeters to meters:
The radius of each balloon is 5 centimeters, which is equal to 0.05 meters.
2. Calculate the volume of each balloon using the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Volume = (4/3) * π * (0.05)^3
Using the value π ≈ 3.14, the volume of each balloon is approximately:
Volume ≈ (4/3) * 3.14 * (0.05)^3
3. Calculate the volume of the cylinder:
The given cylinder can hold 10 liters of water, which is equal to 10 * 0.001 cubic meters (since 1 liter is equal to 0.001 cubic meters).
Therefore, the volume of the cylinder is 10 * 0.001 cubic meters.
4. Divide the volume of the cylinder by the volume of each balloon to find the number of balloons that can be filled:
Number of balloons = Volume of cylinder / Volume of each balloon
Number of balloons ≈ (10 * 0.001) / [(4/3) * 3.14 * (0.05)^3]
Simplifying the expression, the number of balloons can be approximated to an integer value.
By following these steps, you can calculate the approximate number of spherical balloons that can be filled with hydrogen gas from the given cylinder.