SOLUTION: Two cones are similar in shape. The ratio of the diameters of their bases is 2:7. The radius of the smaller cone is 4.5 inches. A) find the radius of the larger cone B) write the r

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Question 1137073: Two cones are similar in shape. The ratio of the diameters of their bases is 2:7. The radius of the smaller cone is 4.5 inches. A) find the radius of the larger cone B) write the ratio of the height of the smaller cone to the height of the larger cone.
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
wo cones are similar in shape.
The ratio of the diameters of their bases is 2:7.
The radius of the smaller cone is 4.5 inches. Diameter = 9 inches.
Let diameter of larger cone be x inches
2/7 = 9/x
diameter of larger cone x= 63/2

radius of larger cone = 63/4
let h1 be the height of smaller cone
h2 be the height of the larger cone

h1%2Fh2+=+r1%5E2%2Fr2%5E2
+h1%2Fh2+=+%289%2F2%29%5E2+%2F%2863%2F4%29%5E2





simplify to get the ratio of 4/49

ratio of the height of the smaller cone to the height of the larger cone=4/49

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The answer from tutor @mananth for the second question is wrong; what she did to get the answer makes no sense.

If the ratio of the diameters of the two cones is 2:7, then the ratio of ANY corresponding linear measurements between the two cones is 2:7.

A) 4.5 * (7/2) = 9/2*7/2 = 63/4

B) 2:7