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Glencoe Math: Course 3, Volume 2 View details

3. Volume of Spheres

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Exercise 11 Page 610

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

about 10.9in.^3

Practice makes perfect

We want to find the radius of a hemisphere knowing that its volume is equal to 2712.3 cubic inches. Now, let's recall that 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 We can now substitute 2712.3 for V in the above formula and solve for r.

V=2/3π r^3

Substitute

V= 2712.3

2712.3=2/3π r^3

▼

Solve for r

MultEqn

LHS * 3=RHS* 3

2712.3* 3=2/3π r^3* 3

Multiply

8136.9=2/3π r^3* 3

CommutativePropMult