Math
posted by Reeces
1.Which solid has one base that is a triangle and three lateral surfaces that are triangles?
A:Triangular Pyramid***
B:Triangular Prism
C:Rectangular Prism
D:Rectangular Pyramid
2.A solid with two parallel and congruent bases cannot be which of the following:
A:Cone***
B:Prism
C:Cylinder
D:Cube
3.A cone has a radius of 15 cm and a volume of 540 cm^3. Find the volume of a similar cone with a radius of 10 cm.
A:54 cm^3
B:240 cm^3
C:160 cm^3
D:360 cm^3
How do I solve 3?

Steve
#1 #2 are ok
the volumes are in the cube of the linear ratio. So, v' = (10/15)^3 v = 8/27 v = 160
This is due to the fact that each dimension scales the same way. In the case of the sphere, replace r by (2/3)r in the formula. Then you get
v = 4π/3 r^3
v' = 4π/3 (2/3 r)^3
= 4π/3 (2/3)^3 r^3
= (2/3)^3 v 
Reeces
Thanks!

secret
Are you sure number 2 is good, i thought it was sphere
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