SOLUTION: Two solid cones are mathematically similar.
Cone X has a volume of 120cm^3.
Cone Y has a volume of 960cm^3.
Work out the ratio of the surface area of cone X to the surface ar
Algebra.Com
Question 1076993: Two solid cones are mathematically similar.
Cone X has a volume of 120cm^3.
Cone Y has a volume of 960cm^3.
Work out the ratio of the surface area of cone X to the surface area of cone Y.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The surface area of a cone is of the form pi*r(r+sqrt (h^2+r^2)). This is proportional to the second power of r.
The volume ratio is 1:8, and volume is to the third power.
This is equivalent of one cone's radius being 1 and the other's being 2. When one cubes both to compute volume, there is a 1:8 ratio.
The area, however, is to the second power and will be 1:4.
RELATED QUESTIONS
five cones A, B, C, D and E are mathematically similar.
their heights are in the ratio... (answered by Edwin McCravy)
Two similar cones have a combined volume of 400 in.^3 and the larger cone holds 80 in^3... (answered by Theo)
Hello, I have two Similar cones Large and small. Large cone is 9cm radius 15 cm slant... (answered by MathLover1,addingup)
Cone A is similar to cone B with a scale factor of 1/9. If cone A, the smaller of the... (answered by vleith)
Cone A has a volume of 270ml
Cone B has a height oh 2/3 of Cone A's height
What is Cone (answered by Cromlix)
I have a quiz tomorrow, and I don't quite understand the "ratio" thing. Can you help... (answered by josgarithmetic)
Two similar cones have a scale factor of 3:10. The smaller cone has a surface area of... (answered by ikleyn)
A cone has a radius of 12 cm and a volume of 216 cm³. Find the volume of a similar cone... (answered by Alan3354)
a cone has a volume V= 1/3 pie r ^2h where r is the radius of the cones base and h is the (answered by Alan3354)