mariasanchez47
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Would someone please help me?!
An ostrich egg has about the same volume as a sphere with a diameter of 5 inches. If the eggshell is about 1/12 inch thick, find the volume of just the shell, not including the interior of the egg. Explain how you got your answer. Round your answer to the nearest tenth.



Answer :

apologiabiology
volume of a sphere is
v=4/3 times pi times radius^3
to solve, find the volume of:
a. total egg
b. interior
then subtract b from a and get answer

so
aprox pi to 3.14
v=4/3 times 3.14 times r^3

diameter=2radius
radius=1/2diameter
diameter=5
radius=1/2 of 5
radius=2.5

solve for a.
radius=2.5
subsitute
4/3 times 3.14 times 2.5^3
4/3 times 3.14 times 15.625
65.4167=a

solve for b
radius is only on 1 side so
2.5-1/12=30/12-1/12=29/12=2.4166
subsitute
v=4/3 times 3.14 times 2.4166^3
4/3 times 3.14 times 14.114
59.0906=b

a=65.4167
b=59.0906
a-b=65.4167-59.0906=6.326
tenth is regarding up to the 2nd decimal place
6.32
2<5
6.3 cubic inches or 6.3in^3


answer is 6.3 in^3

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