SOLUTION: HEMISPHERE ON HEMISPHERE.THE LARGE ONE HAS DIAMETER 22CM SMALLER 12CM WHAT IS THE TOTAL SURFACE AREA.
THANK YOU
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Question 1011361: HEMISPHERE ON HEMISPHERE.THE LARGE ONE HAS DIAMETER 22CM SMALLER 12CM WHAT IS THE TOTAL SURFACE AREA.
THANK YOU
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
You must know that the surface area of a sphere is .
A is of a , this must mean that the curved surface area of a hemisphere is the surface area of a sphere divide by .
That is which gives the following expression:
Total Surface Area of Hemisphere includes the circular base below the curve and its area is , so
if the large has diameter , then its radius is , and
if their bases touching each other, then the area of the bases of smaller hemisphere will be already included in the area of the bases of greater hemisphere; so for smaller hemisphere we will need only curved surface area
and if the smaller has diameter , then its radius is , and
and, total surface area of both hemispheres will be:
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