Question

6d) If the perimeter of the great circle is ne
find the volume of the hemisphere once
.
solutionar​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

The formula for the perimeter of a circle is [math]2{pi}R[/math] so this great circle with perimeter pi cm must have a radius of 0.5cm ([math]R = pi / {2{pi}}[/math])

The volume of a sphere is [math](4/3){pi}R^3[/math]. A hemisphere is half of that, [math](2/3){pi}R^3[/math].

0.5^3 is (1/2)^3 which is 1/8 or 0.125. So 2/3rds of this is 1/12 or 0.08333..

So the volume of the hemisphere is pi/12, which is just under 0.2618cm^3