The volume of a sphere is V = 14,130 ft3. What is its surface area?
What is it's radius?
The volume of a sphere is V = 4443 m3. What is its surface area?
What is it's radius?
http://math.about.com/od/formulas/ss/surfaceareavol.htm
I'm confused on how to use the formula. I got an answer but it wasn't right.
V= 4/3 PI r^3 r= cubrt(3*V/4pi)
A- 4PI r^2 r= (sqrt(Area/4PI ))
To find the surface area and radius of a sphere given its volume, you can use the formulas for volume and surface area of a sphere. The formulas are as follows:
Volume of a sphere = (4/3) * π * radius^3
Surface area of a sphere = 4 * π * radius^2
Let's start by finding the radius.
For the first question:
Given volume = 14,130 ft^3
1. Rearrange the volume formula to solve for the radius:
Volume = (4/3) * π * radius^3
Multiply both sides by (3/4) to isolate the radius:
(radius^3) = (3/4) * (Volume / π)
2. Substitute the value of the volume:
(radius^3) = (3/4) * (14,130 / π)
(radius^3) = 10,597.5 / π
3. Take the cube root of both sides to find the radius:
radius = ∛(10,597.5 / π)
Now you can calculate the surface area.
4. Substitute the radius value into the surface area formula:
Surface area = 4 * π * (radius^2)
For the second question:
Given volume = 4,443 m^3
Follow the same steps as above, replacing the values where necessary.
By following these steps, you can find both the surface area and radius of a sphere using its given volume.