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oksian1 [2.3K]
3 years ago
15

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

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0
We know that
the axis is equal to the diameter of a sphere
so
D=14 units
r=D/2-----> r=7 units
<span>the surface area of the sphere=4*pi*r</span>²------> 4*pi*7²=196*pi units²

the answer is the option
<span>C. 196 pi units^2</span>
posledela3 years ago
4 0

Answer:

The correct Option is C. 196 pi units²

Step-by-step 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

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The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

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