Calculate the volume of a spherical balloon which has a surface area of 0.0793 m2
V = Volume = (4/3) pi R^3
A = Area = 4 pi R^2
R = [A/(4 pi)]^1/2 = 0.07944 m
V = (4/3)*pi*(0.07944)^3 = 0.00210 m^3
2.10 liters
0.0021 m^3
To calculate the volume of a spherical balloon, you can use the formula for the surface area of a sphere and then solve for the volume.
The formula for the surface area of a sphere is given by:
A = 4πr^2
where A represents the surface area and r represents the radius of the sphere.
In this case, we are given the surface area A = 0.0793 m². Let's rearrange the formula to solve for r:
r^2 = A / (4π)
r = √(A / (4π))
Now we can plug in the given surface area and calculate the value of r:
r = √(0.0793 m² / (4π))
Next, we can use the formula for the volume of a sphere to calculate the volume:
V = (4/3)πr^3
V = (4/3)π(√(0.0793 m² / (4π)))^3
Calculating this expression will give us the volume of the spherical balloon.
Please note that throughout the calculation, ensure that the units are consistent. In this case, the units are in meters (m) for both the surface area and the volume.