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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 27 Page 873

The surface area of a sphere is four times the product of π and the square of the radius.

≈ 1017.9 m^2

Practice makes perfect

Consider the given sphere.

The surface area of a sphere is four times the product of π and the square of the radius. S.A.=4π r^2 In the diagram we can see that the radius is 9 meters. Therefore, we can substitute 9 for r in the formula and simplify the right-hand side.

S.A.=4π r^2

r= 9

S.A.=4π ( 9)^2

▼

Simplify right-hand side

Calculate power

S.A.=4π(81)

CommutativePropMult

Commutative Property of Multiplication

S.A.=4* 81π

Multiply

S.A.=324π

Use a calculator

S.A.=1017.87602...

Round to 1 decimal place(s)

S.A.≈ 1017.9

The surface area of the given sphere is about 1017.9 square meters.

Subchapter links

1 Representations of Three-Dimensional Figures p.872

2 Surface Areas of Prisms and Cylinders p.872

3 Surface Areas of Pyramids and Cones p.872

4 Volumes of Prisms and Cylinders p.873

5 Volumes of Pyramids and Cones p.873

6 Surface Areas and Volumes of Spheres p.873

7 Spherical Geometry p.874

8 Congruent and Similar Solids p.874