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mathhelppls14
29.01.2020 •
Mathematics
Acone has a radius of 20cm and a volume of 925cm to the 3rd power. what is the volume of a similar cone with a radius of 10 cm?
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Ответ:
115.625 cm³
Step-by-step explanation:
For 2 similar shapes
linear ratio = a : b, then
volume ratio = a³ : b³
The ratio of the radii = 20 : 10 = 2 : 1, thus
The ratio of the volumes = 2³ : 1³ = 8 : 1
Let x be the volume of the smaller cone, then
8x = 925 ( divide both sides by 8 )
x = 115.625
The volume of the smaller cone = 115.625 cm³
Ответ: