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Glencoe Math: Course 3, Volume 2 View details

5. Surface Area of Cones

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Exercise 37 Page 638

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

5.7m^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 radius is 1.4 meters. We can substitute this value for r in the formula for the volume of a hemisphere and evaluate.

V=2/3π r^3

Substitute

r= 1.4

V=2/3π ( 1.4)^3

▼

Evaluate right-hand side

CalcPow

Calculate power

V=2/3π(2.744)

CommutativePropMult

Commutative Property of Multiplication

V=2/3(2.744)π