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The human eyeball is a sphere with a surface area of 20 square cm. find the approximate radius of the human eyeball.
a. 1.26 cm
b. 1.59 cm
c. 2.24 cm
d. 4.47 cm

Respuesta :

Richinfo
Surface area of a sphere formula is 4π (radius squared)20 square cm = 4x 3.14 x radius squared
20 square cm=12.56 x radius squared
here we will divide both sides by 12.56 to find radius squared
20/12.56=radius squared
1.5924= radius squared
square root  1.5924=radius
1.26cm=radius of the eye ball
the answer is A. 1.26 cm

Answer:

a. 1.26 cm

Step-by-step explanation:

Since, the surface area of a sphere is,

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

Where, r is the radius of the sphere,

Given,

A = 20 square cm,

[tex]\implies 20 = 4\pi r^2[/tex]

[tex]\implies r^2 =\frac{20}{4\pi}[/tex]

[tex]r^2 = \frac{5\times 7}{22}[/tex]

[tex]r^2=\frac{35}{22}[/tex]

[tex]r=\sqrt{\frac{35}{22}}=1.261312447\approx 1.26[/tex]

Hence, the radius of the eyeball is 1.26 cm.

Option 'a' is correct.

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