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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 2 Page 852

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

461.8in^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 the 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

MoveRightFacToNumOne

1/b* a = a/b

r=14/2

SimpQuot

Simplify quotient

r=7

We know that r=7inches. We can substitute this value in the formula for the area of a hemisphere and simplify.

A=1/2(4π r^2)+π r^2