SOLUTION: As I do not understand this question at all. Would you please be able to explain the process in detail and give me the formular for future use. The question is as follows. Find t

Algebra ->  Volume -> SOLUTION: As I do not understand this question at all. Would you please be able to explain the process in detail and give me the formular for future use. The question is as follows. Find t      Log On


   

Question 107736: As I do not understand this question at all. Would you please be able to explain the process in detail and give me the formular for future use.
The question is as follows. Find the volume of a hemisphere of diameter 1.2m to the nearest litres?
Thank you so much for your assistance, it is greatly appreciated.
Cheers D.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is given by:

V=%284%2F3%29pi%2Ar%5E3

but we have a hemisphere, which is half of a sphere, so the volume of a hemisphere would be given by:

V=%282%2F3%29pi%2Ar%5E3

We are given the diameter, so we need to divide by 2 to get the radius:

1.2%2F2=0.6

V=%282%2F3%29pi%2A%280.6%29%5E3

I used Excel, but you can use a calculator or do the arithmetic, either way, the answer comes out 0.4524 cubic meters

There are 1000 liters (or litres, if you prefer) in 1 cubic meter. So, rounded to the nearest liter, there are:

1000%2A0.452=452 liters in the given hemisphere.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of a hemisphere of diameter 1.2m to the nearest litres?
---------------
The volume of the sphere: V = (4/3)(pi)r^3
hemisphere = (1/2)V
radius = (1/2)diameter = (1/2)1.2m = 0.6 meter
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Your Problem:
(1/2)V = (1/2)(4/3)(pi)(0.6)^3 = 0.452389... cubic meters
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Cheers,
Stan H.