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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 10 Page 852

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

50.3ft^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 We are given that radius of the circle measures 2 feet. We can substitute 2 for r in the above formula and simplify the right-hand side.

S=4π r^2

r= 2

S=4π ( 2)^2

▼

Simplify right-hand side

Calculate power

S=4π (4)

CommutativePropMult

Commutative Property of Multiplication

S=4(4)π

Multiply

S=16π

Use a calculator

S=50.26...

Round to 1 decimal place(s)

S≈ 50.3

The surface area of the given sphere to the nearest tenth is 50.3ft^2.

Subchapter links

Exercises p.852-855