body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

Continue to next subchapter

Exercise 11 Page 852

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

113.1cm^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=4π r^2 In the diagram we can see that the diameter is 6cm. Therefore, the radius is 6÷ 2=3cm. We can substitute this value for r in the above formula and simplify the right-hand side.

S=4π r^2

r= 3

S=4π ( 3)^2

▼

Simplify right-hand side

Calculate power

S=4π (9)

CommutativePropMult

Commutative Property of Multiplication

S=4(9)π

Multiply

S=36π

Use a calculator

S=113.09...

Round to 1 decimal place(s)

S≈ 113.1

The surface area of the given sphere to the nearest tenth is 113.1cm^2.

Subchapter links

Exercises p.852-855