The area of the great circle is 78.5 ft2. Find the volume of the hemisphere. Use 3.14 for T.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Example 4: The area of the great circle is 78.5 ft. Find the volume of the hemisphere.
Use 3.14 for IT.
The first step is to find the radius of the sphere.
Use the formula for the area of a circle to find the
length of the radius.
great
circle
A = T r?
78.5 = 3. 14 ·r?
25 r?
5 =r
hemisphere
A hemisphere is ½ of a sphere.
V
v = (; 3.14 -5*)
V = 261.7 ft
Transcribed Image Text:Example 4: The area of the great circle is 78.5 ft. Find the volume of the hemisphere. Use 3.14 for IT. The first step is to find the radius of the sphere. Use the formula for the area of a circle to find the length of the radius. great circle A = T r? 78.5 = 3. 14 ·r? 25 r? 5 =r hemisphere A hemisphere is ½ of a sphere. V v = (; 3.14 -5*) V = 261.7 ft
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