Find the volume of a hemisphere with a radius of 8. Round to the nearest tenth.

Answer:

V(hemisphere) = 1072.3in^3

Step-by-step explanation:

To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.

The volume of a sphere is:

[tex]V(sphere) = \frac{4}{3} \pi r^3[/tex]

Let's plug in the radium of 8 into the equation and solve:

[tex]V(sphere) = \frac{4}{3} \pi (8)^3\\V(sphere) = \frac{4}{3}\pi 512 \\V(sphere) = 2144.660585[/tex]

Now, divide it by 2

V(sphere) = (2144.660585)/2

V(hemisphere) = 1072.3in^3

I hope this helps!!

- Kay :)

Answer:

the answer is V(hemisphere) = 1072.3in^3

Step-by-step explanation:

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