Posted by JOY on Wednesday, May 25, 2011 at 6:33am.
A pyramid has a square base with sides length of b. The height of the pyramid is h. If the pyramid is enlarged by doubling the height while leaving the base unchanged, what is the effect on the volume of the pyramid?
Will the volume triple?
These are my choices:
a.The volume does not change
b.The volume doubles
c.The volume triples
d.The volume quadruples

geometry  Reiny, Wednesday, May 25, 2011 at 8:13am
Volume of original pyramid = (1/3)π(b^2)h
Volume of new pyramid = (1/3)π(b^)(2h) = (2/3)π(b^2)h
How do they compare ?

geometry  Mary, Wednesday, May 25, 2011 at 9:01am
Do they double??

geometry  Reiny, Wednesday, May 25, 2011 at 9:20am
Yes,
they differ only by the 1/3 vs 2/3
and 2/3 is twice as large as 1/3

geometry  sally, Friday, June 10, 2011 at 9:55am
A pyramid has a volume of 24 and a base area of 12. What is the length of the altitude of the pyramid?
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