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McGraw Hill Integrated II, 2012 View details

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Exercise 26 Page 873

To find the area of a hemisphere, calculate the area of half of a sphere with the same radius and add the area of a great circle.

≈ 461.8 in.^2

Practice makes perfect

A hemisphere is half of a sphere.

Therefore, to find the area of a hemisphere we need to calculate the area of half of a sphere with the same radius and add the area of a great circle. Surface Area of a Hemisphere [0.8em] A=1/2(4π r^2)+π r^2 We first need to calculate the radius. To do so, we will consider the given fact that the radius is half of the diameter. r=1/2d We can substitute 14 for d in this formula and solve for the radius r.

r=1/2d

Substitute

d= 14

r=1/2( 14)

▼

Simplify right-hand side

MoveRightFacToNumOne

1/b* a = a/b

r=14/2

CalcQuot

Calculate quotient

r=7