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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 49 Page 855

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

68.6m^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 The radius measures 3.2meters. We can substitute this value in the formula for the volume of a hemisphere and simplify.

V=2/3π r^3

Substitute

r= 3.2

V=2/3π ( 3.2)^3

UseCalc

Use a calculator

V=68.62...

RoundDec

Round to 1 decimal place(s)

V≈ 68.6

The volume of the hemisphere to the nearest tenth is 68.6m^3.