# Geometry

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THE VOLUME OF AN OBLIQUE CONE WITH EQUAL DIAMETER AND HEIGHT IS 18*3.14CM^3. FIND THE HEIGHT AND RADIUS (TO THE NEAREST CM).

• Geometry -

the volume of a cone , regular or oblique,
= (1/3)πr^2 h
if h = 2r

V = (1/3) π r^2 (2r) = (2/3)π r^3

but (2/3)π r^3 = 18π , (I assumed your 3.14 was supposed to be π )

(2/3) r^3 = 18
2r^3 = 48
r^3 = 24
r = 24^(1/3) = appr 2.885 cm
or 3 cm to the nearest cm

neat little applet here for an oblique cone
http://www.mathopenref.com/coneoblique.html

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