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Find the surface area of a sphere with a diameter 10 cm.
a.
768 sq. cm
c.
314 sq. cm
b.
546 sq. cm
d.
154 sq.cm


Please select the best answer from the choices provided

A
B
C
D


Sagot :

Answer:

c.

314 sq. cm

Step-by-step explanation:

Surface area of sphere:

The surface area of an sphere with radius r is given by:

[tex]S = 4\pi r^2[/tex]

Find the surface area of a sphere with a diameter 10 cm.

Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex]

The surface area is:

[tex]S = 4\pi*5^2 = 100\pi = 314[/tex]

314 square centimeters, and option c is the answer.