SOLUTION: Could you please help me with this question? Thank you in advance! Find the volume AND total surface area of the shape <a rel=nofollow HREF="https://ibb.co/J5H3pGQ"><img src

Question 1191047: Could you please help me with this question? Thank you in advance!
Find the volume AND total surface area of the shape

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
you have three parts: half of the sphere (height=r=12}}}, cylinder , and cone
with same base
base is a circle with diameter -> radius
height of each part is

volume of a hemisphere is half the volume of sphere:
volume of sphere:

volume of hemisphere

...............eq.1

cylinder:

...........eq.2

cone:

.........eq.3

volume of the shape

-> exact solution
-> approximately

surface area
of a half sphere is:

cylinder:
-> we do not need bases (shape is open inside)

cone:
we do not need base
where is lateral height
slant height

total surface area is

approximately

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