The volume of the sea Urchin egg is 5.2 x 10^5 µm3. You fertilize the cells and take measurements of cellular dimensions at the four blastomere stage. Assume a perfect sphere. Question: What would you predict is the surface area of EACH the sea urchin blastomeres? A) 1 x 10^2 µm^2 B) 5.66 x 10^5 µm^2 C) 6.66 µm^2 D) 3.9 x 10^5 µm^2 E) 1.24 x10^4 µm^2 F) None of these

Human Anatomy & Physiology (11th Edition)
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The volume of the sea Urchin egg is 5.2 x 10^5 µm3. You fertilize the cells and take measurements of cellular dimensions at the four blastomere stage. Assume a perfect sphere.

Question: What would you predict is the surface area of EACH the sea urchin blastomeres?

A) 1 x 10^2 µm^2

B) 5.66 x 10^5 µm^2

C) 6.66 µm^2

D) 3.9 x 10^5 µm^2

E) 1.24 x10^4 µm^2

F) None of these

Expert Solution
Step 1

a given volume of the sea urchin egg =5.2 x 10^5 µm3

using the formula volume of the sphere =

V=4/3πr3
 
V =5.2 x 10^5 µm3  
π =3.14
on calculating the resultant radius of the sphere i.e... the radius of the 1 blastomeres
as the egg consists of 4 blastomeres paires
 
r= 0.310x10^5 µm
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