Need help with this-
If the surface area of a sphere is 64pi what would be it's radius and volume?
formula:: V= 4/3*pi*r^3 [i think]
Thanks
-MC
To find the radius and volume of a sphere given its surface area, you can follow these steps:
Step 1: Know the formula for the surface area of a sphere. The formula is:
S = 4πr^2
Here, S represents the surface area and r represents the radius.
Step 2: Plug in the given surface area (64π) into the formula:
64π = 4πr^2
Step 3: Simplify the equation by canceling out the common factor of 4π:
16r^2 = 64
Step 4: Divide both sides of the equation by 16 to isolate r^2:
r^2 = 4
Step 5: Take the square root of both sides to find the radius:
r = √4
r = 2
So, the radius of the sphere is 2 units.
Step 6: To calculate the volume, use the formula:
V = (4/3)πr^3
Step 7: Plug in the radius you found (2) into the formula:
V = (4/3)π(2)^3
V = (4/3)π(8)
V = (32/3)π
Therefore, the volume of the sphere is (32/3)π cubic units.
Yes, that is is. Solve for radius.
Then surface area is 4PIr^2