The axis of the sphere below is 12 units in length. What is the surface area of
the sphere?
A. 256 units2
B. 72 units
C. 144 units2
D. Cannot be determined

The axis of the sphere below is 12 units in length What is the surface area of the sphere A 256 units2 B 72 units C 144 units2 D Cannot be determined class=

Respuesta :

The Answer: C. 144 units2

The surface area of the sphere is 144π square units.

What is a sphere?

"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".

For the given situation,

The axis of the sphere = 12 units

The axis is the diameter of the sphere.

The radius of the sphere, r = d/2

⇒ [tex]r=\frac{12}{2}[/tex]

⇒ [tex]r=6 units[/tex]

The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]

[tex]A = 4\pi( 6)^{2} \\[/tex]

⇒ [tex]A=144\pi[/tex]

Hence we can conclude that the surface area of the sphere is 144π square units.

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