A spherical balloon has an area of
7.1076 m2.How to you calculate the volume?
To calculate the volume of a spherical balloon given its surface area, you can use the formula:
V = (4/3)πr³
Where:
V is the volume of the balloon
π (pi) is approximately 3.14159
r is the radius of the balloon
To find the radius (r) of the spherical balloon, we need to solve the equation for the surface area. The formula for the surface area of a sphere is:
A = 4πr²
Given the surface area of the balloon as 7.1076 m², we can rearrange the formula to solve for the radius:
7.1076 = 4πr²
Dividing both sides of the equation by 4π, we get:
r² = 7.1076 / (4π)
r² ≈ 0.5665
To find the radius (r), we take the square root of both sides of the equation:
r ≈ √0.5665
r ≈ 0.7537
Now that we have the radius, we can substitute it into the volume formula to find the volume of the balloon:
V = (4/3)π(0.7537)³
V ≈ 1.4314 m³
So, the volume of the spherical balloon is approximately 1.4314 cubic meters.