SOLUTION: A hemisphere of diameter 10cm is attached to a cylinder of equal diameter. If the total length of the shape is 20cm calculate:
A) the surface area of the hemisphere
B)length of
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Question 1139006: A hemisphere of diameter 10cm is attached to a cylinder of equal diameter. If the total length of the shape is 20cm calculate:
A) the surface area of the hemisphere
B)length of cylinder
C) surface area of the whole shape
Found 3 solutions by greenestamps, MathLover1, Alan3354:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
diameter 10 --> radius 5
total length = length of cylinder + radius of hemisphere = 20 --> length of cylinder is 15
A) For a sphere, surface area is
half of that for the hemisphere
B) see above
C) Lateral surface area of cylinder is
Area of bottom of cylinder (circle) is
Fill in the measurements and do the calculations....
Leave answers in terms of pi unless directed otherwise.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
A hemisphere of diameter is attached to a cylinder of equal diameter. If the total length of the shape is calculate:
A) the surface area of the hemisphere
given: diameter => radius
=> exact solution
=>approximate solution
B) length of cylinder
If the total length of the shape is calculate, the length of cylinder will be difference between the total length of the shape and radius of cylinder
C) surface area of the whole shape
will be of the hemisphere plus surface area of cylinder (without one base)
surface area of cylinder is:
lateral surface area of cylinder is
area of bottom of cylinder (circle) is
....plug in ,
=> exact solution
=>approximate solution
=>surface area of the whole shape is:
=> exact solution
=>approximate solution
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There are some things you have to know:
-------
SA of a sphere = 4pi*r^2
SA of a cylinder = pi*r^2*h ---- the lateral area.
=========
Also:
Volume of a sphere = 4*pi*r^3/3
Volume of a cylinder = pi*r^2*h
---
You might notice that for a sphere, the SA is the 1st derivative of the volume
wrt to r.
--------
There are others, but you HAVE TO know these.
Like it or not.
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