Question

http://ritter.tea.state.tx.us/student.assessment/resources/online/2009/taks_g09_math/images/8graphicaa.gif

A sphere with a diameter of 6x centimeters is shown below.

Which of the following expressions best represents the volume of this sphere in cubic centimeters in terms of π?

Answer 1

\[V = \frac{4}{3}pi \space r^3\] r = 3x
\[V = \frac{4 pi (3x)^3}{3}\]
V =\[\frac{4 pi 27x^3}{3} = 4 \space pi \space 9x^3 = 36pix^3\]

Answer 2

No offense but my brain just exploded

Answer 3

Volume of a sphere is given by \[\frac{4}{3}pi \space r^3\]

Answer 4

You have a diameter of 6x, so half of that would be the radius. Therefore you have a radius of 3x

Answer 5

just plug in 3x where "r" is and simplify

Answer 6

okay that makes sense but where did you get the 4 in the 4/3 from?

Answer 7

the 4/3 part of the formula to calculate the Volume of a sphere.

Answer 8

It was given i guess you could say. I didnt calculate that number

Answer 9

oh yah that's true (suspicious) have you seen this problem before?

Answer 10

No lol.

Answer 11

lol okay so just so I'm certain, a volume is always squared?

Answer 12

What do you mean by always squared?? If you mean the units then it should be what ever the units are cubed.

Answer 13

No I mean that 3 symbol

Answer 14

The radius is always cubed for the volume of a sphere, not squared

Answer 15

thank you sooo much :)