Geometry: An Interactive Journey to Mastery



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22

(^222)
(^1122) 
(^1122)         PP 
SA SSSr r rh
SSS S

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˜ ˜  ˜

One hemisphere 12    PP SS^22

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150 53 gallons.

1050 353 gallons.

S

S

S

l

l

l

We need 1123 more units of paint.

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space cylinder sphere

23

33 3

33

sphere



 3

88163316

 332

2.

VV V

rr r

rr r

rr

V

SS

SS S

SS

u

u

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u

u

7KHYROXPHRIWKHVSDFHHTXDOVWKHYROXPHRIWKHWZREDOOV௘6HHFigure S.23.7௘ͽ

10.D௘ͽ LA un^12 xs.
E௘ͽ 5HZULWHDVLA uu^12 nx s. Because nx = perimeter of the base, this reads
lateral area =^12 × perimeter of base × slant height.
F௘ͽ ,IWKHEDVHLVDFLUFOHRIUDGLXVr, then the perimeter = 2ʌU. The formula becomes
lateral area =^12 uu 2.SSrs rs

r

8 r

Figure S.23.7