Two similar cones are of heights 2cm and 6cm. If the radius of the shorter cone is 3cm, what is the radius of the larger one
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Given:Heights of two similar cones are 2cm, 6cm
Radius the smaller cone is 3cm
To find:The radius of the larger cone
The similar cones must have similar volume so
Volume of cone=(1/3)×(22/7)×(r^2)×h
1/3×22/7×3×3×2=33/7
Volume of larger cone 33/7cm^2
Height = 6cm so
1/3×22/7×r^2×6=33/7
r^2=33/7×7/44
r^2=3/4
r=(root over 3)/2
Radius the smaller cone is 3cm
To find:The radius of the larger cone
The similar cones must have similar volume so
Volume of cone=(1/3)×(22/7)×(r^2)×h
1/3×22/7×3×3×2=33/7
Volume of larger cone 33/7cm^2
Height = 6cm so
1/3×22/7×r^2×6=33/7
r^2=33/7×7/44
r^2=3/4
r=(root over 3)/2
ennynike:
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