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fvwk
19.07.2019 •
Mathematics
An expandable cone-shaped funnel consists of two sections as shown. (a) what is the volume of the bottom section? (b) what is the volume of the top section?
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Ответ:
volume of a cone=(1/3)*pi*r²*h
Part a) What is the volume of the bottom section?
diameter=6 cm
r=6/2> r=3 cm
h=8 cm
Volume=(1/3)*pi*3²*8> 24*pi cm³> 75.36 cm³
Part b)What is the volume of the top section?
diameter=12 cm
r=12/2> r=6 cm
h=16 cm
Volume=(1/3)*pi*6²*16> 192*pi cm³> 602.88 cm³
alternative method to find the volume of the top section
we know that
volume larger cone=scale factor³*volume smaller cone
scale factor=16/8> 2
volume smaller cone=24*pi cm³
so
volume larger cone=2³*24*pi> 8*24*pi > 192*pi cm³
Ответ: