Question

The axis of the sphere below is 14 units in length. What is the surface area of the sphere ?

a. 256 pi units^2B. 72 pi units^2C. 196 pi units^2D. Cannot be determined

Answer 1

The correct Option is C. 196 pi units²

Explanation:

Length of the axis of sphere = 14 units

Also, the length of axis is twice the radius of the sphere

⇒ 2·radius = Length of axis

⇒ 2·r = 14

⇒ r = 7 units

Surface area of the sphere is given by the formula : 4π·r²

⇒ Surface Area = 4π × 7²

⇒ Surface Area = 4π × 49

⇒ Surface Area = 196π units²

Hence, The surface area of the sphere with the given dimensions = 196π units²

Therefore, The correct Option is C. 196 pi units²

Answer 2

we know that
the axis is equal to the diameter of a sphere
so
D=14 units
r=D/2-----> r=7 units
the surface area of the sphere=4*pi*r²------> 4*pi*7²=196*pi units²

the answer is the option
C. 196 pi units^2