geometry help?

Question

1) The volume of a larger prism is 168 cubic cm. If the prisms are similar with linear ratio of 3:2, what is the volume of the smaller prism?
--a--50 cubic cm
--b--56 cubic cm
--c--252 cubic cm
--d--126 cubic cm


2) Write an equation for a circle with center at P(5, -3) and a diameter of 8 units.


Thanks!!

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Answer 1

1.
The ratio of the volume of the smaller to that of the larger is (2/3)^3 = 8/27.
8/27 * 168 = 49.78
Answer (a) is closest.

2.
(x - 5)^2 + (y + 3)^2 = 4^2
(x - 5)^2 + (y + 3)^2 = 16.

Answer 2

Answers with Solutions

Qns. 1:

Linear Ratio of Larger prism : Smaller prism
3 : 2

Vol. Ratio of Larger prism : Smaller prism
3^3 : 2^3
27 : 8

27 units > 168 cubic cm
8 units > 21 cubic cm

Hope This Solutions Will Help In Answering Your Questions ;)

G0n9 G0n9™
Mathematician

Answer 3

(3/2)^3 = 27/8
8/27 *168 = 49.77777 approximately = 50 cm^3

(x-5)^2 + (y+3)^2 = 16

Answer 4

I never thought that I'd be doing math for fun... Let me think this one out....
No way that it's a, or c, if only I had a calculator with a cubed root on it. Grr... I'm pretty sure that it's letter b. Man I'm going to be senior. I should have this stuff down no problem.

2.Man, I just learned that hold on. Never mind. All I know for sure is that you have to have the 8 squared somewhere... Now I have to study... Sorry..