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21gl13826
30.08.2019 •
Mathematics
Acone has a radius of 24 cm and a volume of 1,920 cm cubed. what is the volume of a similar cone with a radius of 18 cm?
a) 480 cm cubed
b) 810 cm cubed
c) 1,080 cm cubed
d) 1,440 cm cubed
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Ответ:
The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.
So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller
So we have 1920 * (27 / 64) = 810.
Final B
Ответ: