if the surface area of the sphere is 154 cm, find its volume.
SA of sphere = 4*pi*r^2
154 = 4*3.14*r^2
r = 3.502
V of sphere = (4/3)*pi*r^3
V = (4/3)*3.14*(3.502)^3
V = 170.81 cm^3
hope this helps~ :)
To find the volume of a sphere given its surface area, we can use the following formula:
Surface Area of a Sphere = 4πr²
Volume of a Sphere = (4/3)πr³
Given that the surface area of the sphere is 154 cm², we can equate this to the formula for the surface area of a sphere:
154 = 4πr²
Now, let's solve for the radius (r) by rearranging the equation:
r² = 154 / (4π)
r² = 154 / (4 * 3.14)
r² ≈ 12.30
Taking the square root of both sides to find the radius r:
r ≈ √12.30
r ≈ 3.51 cm
Now that we have the radius, we can substitute it into the formula for the volume of a sphere:
Volume of the Sphere = (4/3) * π * (3.51)³
Calculating this expression will give us the volume of the sphere.