Find the surface area and volume of a spherical with a radius of 3cm.
Use the formulas explained and illustrated in this site.
http://math.about.com/od/formulas/ss/surfaceareavol.htm
I'll be glad to check your answers.
To find the surface area and volume of a sphere with a given radius, we can use the following formulas:
- The surface area (A) of a sphere is given by the formula: A = 4πr^2, where r is the radius.
- The volume (V) of a sphere is given by the formula: V = (4/3)πr^3, where r is the radius.
Let's calculate the surface area and volume of a sphere with a radius of 3 cm.
1. Surface Area (A):
A = 4πr^2
A = 4π(3 cm)^2
A = 4π(9 cm^2)
A ≈ 113.1 cm^2
Therefore, the surface area of the sphere with a radius of 3 cm is approximately 113.1 square centimeters.
2. Volume (V):
V = (4/3)πr^3
V = (4/3)π(3 cm)^3
V = (4/3)π(27 cm^3)
V ≈ 113.1 cm^3
Therefore, the volume of the sphere with a radius of 3 cm is approximately 113.1 cubic centimeters.