Answer:
D = 10.1m
Explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m