McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
4. Simulations
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Exercise 30 Page 914

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.A.=4π r^2 In the diagram, we can see that the diameter is 4ft. Therefore, the radius is 4÷ 2= 2ft. We can substitute this value for r in the above formula, and simplify the right-hand side.
S.A.=4π r^2
S.A.=4π ( 2)^2
Simplify right-hand side
S.A.=4π (4)
S.A.=4(4)π
S.A.=16π
S.A.=50.265482...
S.A.≈ 50.3
The surface area of the given sphere rounded to the nearest tenth is 50.3ft^2.