can someone check this?

Question

anonymous · Answer

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.


i got 9 ft

anonymous · Answer

That's what I get, too.

anonymous · Answer

thank you i got more if you can help me with them

anonymous · Answer

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches. What is the ratio of the volume of Pot A to the volume of Pot B?


i got 125:1

anonymous · Answer

Do they have the same height?

anonymous · Answer

i think so since they are "similar"

anonymous · Answer

Assume that they have the same height, so, V1 = $\pi R_1^2h$
                                                                V2=$\pi R_2^2h$   and $R_1 = 5R_2$ so that, if replace to the first one
you have V1 = $\pi(5R_2)^2h$
              V2 = $\pi R_2^2 h$
make the ratio: $\dfrac{V1}{V2}= \dfrac{\pi 25R_2^2h}{\pi R_2^2h}$
simplify, you have the ration is 25:1
Don't know why you got 125:1

anonymous · Answer

oops i meant 25:1 i accidentally added 1