Respuesta :
Formula of volume of a Sphere is : V = 4/3 πr³
Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]
You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]
Hope this helps!
Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]
You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]
Hope this helps!
The volume of the sphere is 905.15 square feet.
Given
A sphere has a diameter of 12 feet.
What is the volume of the sphere?
The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a sphere.
The surface area of the sphere is the area or region of its outer surface.
The volume of the sphere is calculated by the following formula;
[tex]\rm Volume \ of \ sphere = \dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
The radius of the sphere is given by;
[tex]\rm Radius = \dfrac{Diameter}{2}\\\\Radius = \dfrac{12}{2}\\\\Radius = 6 \ feet[/tex]
Therefore,
The volume of the sphere is;
[tex]\rm Volume \ of \ sphere = \dfrac{4}{3}\pi r^3\\\\\rm Volume \ of \ sphere = \dfrac{4}{3} \times 3.14 \times (6)^3\\\\\rm Volume \ of \ sphere = \dfrac{4}{3} \times 3.14 \times 216\\\\\rm Volume \ of \ sphere = 905.15 \ feet^2[/tex]
Hence, the volume of the sphere is 905.15 square feet.
To know more about the Volume of the sphere click the link given below.
https://brainly.com/question/381274
