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Mathematics 9 Online
OpenStudy (piercetheveil47):

help me with this????

OpenStudy (piercetheveil47):

OpenStudy (shinalcantara):

For you to compare the difference between the two, you need to first get the volume of each cup. Volume of a cone: \[V = \frac{ 1 }{ 3 } \pi r^2 h\] Volume of a cylinder: \[V = \pi r^2 h\]

OpenStudy (piercetheveil47):

when i subtracted the 2 volumes i got 58.64

OpenStudy (anonymous):

In the equations the volume is calculated by r, the radius of the cones and cylinder which would be half of the diameter, did you take that into account?

OpenStudy (shinalcantara):

Volume of the cone cup: \[V = \frac{ 1 }{ 3 } \pi (1)^2 (4)\] \[V = \frac{ 4 }{ 3 } \pi \] Volume of the cylinder cup: \[V = \pi (1)^2 (6)\] \[V = 6 \pi \]

OpenStudy (piercetheveil47):

14.7?

OpenStudy (shinalcantara):

i guess you're right @Johnbc .. @piercetheveil47 did substitute 2in as r..

OpenStudy (shinalcantara):

yep @piercetheveil47

OpenStudy (piercetheveil47):

thanks everyone!

OpenStudy (shinalcantara):

@piercetheveil47 remember to take that into consideration.. the diameter-radius difference

OpenStudy (anonymous):

Continuing the mathematics. \[6 \pi = \frac{ 18 \pi }{ 3 }\] \[V_2 - V_1 = \frac{ 18 \pi }{ 3 } - \frac{ 4 \pi }{ 3 } = \frac{ 14 \pi }{ 3} \] And from just observing you can see that Pi is around 3.14 so the answer would be around 14.66

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