Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
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Exercise 19 Page 611

The volume of a hemisphere is half the volume of a sphere with the same radius.

about 883.6km^3

Practice makes perfect

A hemisphere is the name of a solid that is half of a sphere.

Therefore, the volume of a hemisphere with radius r is half the volume of a sphere with radius r. Volume of a Hemisphere [0.8em] V=1/2(4/3π r^3) ⇔ V=2/3π r^3 To use this formula we first need to calculate the radius. To do so, we will consider the given hemisphere.

In the diagram, we can see that the diameter is 15km. Therefore, the radius is 15÷ 2= 7.5km. We can substitute this value for r in the formula for the volume of a hemisphere and simplify.

V=2/3Ï€ r^3
V=2/3Ï€ ( 7.5)^3
â–¼
Solve for V
V=2/3Ï€(421.875)
V=2/3(421.875)Ï€
V=2(421.875)/3Ï€
V=843.75/3Ï€
V=281.25Ï€
V=883.572933...
V≈ 883.6

The volume of the hemisphere, to the nearest tenth, is 883.6 cubic kilometers.