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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 18 Page 852

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

261.8ft^3

Practice makes perfect

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

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 5feet. We can substitute this value into the formula for the volume of a hemisphere and simplify.

V=2/3π r^3

r= 5

V=2/3π ( 5)^3

Calculate power

V=2/3π(125)

CommutativePropMult

Commutative Property of Multiplication

V=2/3(125)π

MoveRightFacToNum

a/c* b = a* b/c

V=250/3π

Use a calculator

V=261.79...

Round to 1 decimal place(s)

V≈ 261.8

The volume of the hemisphere to the nearest tenth is 261.8ft^3.

Subchapter links

Exercises p.852-855