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Mathematics 15 Online
OpenStudy (18jonea):

Chef Imelda can do something unique. Using a secret process, she can bake a nearly perfectly spherical pie consisting of a chicken filling inside a thick crust. The radius of the whole pie is 19 cm, and the radius of the filling is 16 cm. What is the volume of the crust alone, to the nearest tenth of a unit? Use p˜ 3.14. https://nnds-li.brainhoney.com/Resource/19791663,8AD/Assets/assessmentimages/lesson7_qu9.gif 110.0 cm3 11,564.8 cm3 11,567.8 cm3 113.0 cm3 @amistre64

OpenStudy (18jonea):

@Michele_Laino

OpenStudy (18jonea):

@welshfella

OpenStudy (anonymous):

The anwer i a

OpenStudy (anonymous):

|dw:1430945237254:dw|

OpenStudy (18jonea):

how did you get a

OpenStudy (michele_laino):

oops, sorry I have made an error

OpenStudy (anonymous):

ok

OpenStudy (michele_laino):

we have to compute the volume of the space enclòosed between the two speres, namely the 16 cm radius sphere, and the 19 cm radius sphere. Now the volume V of a sphere whose radius is R, is given by the subsequent formula: \[V = \frac{{4\pi }}{3}{R^3}\] so the requested volume is: \[\Large \begin{gathered} V = \frac{{4\pi }}{3}R_2^3 - \frac{{4\pi }}{3}R_1^3 = \frac{{4\pi }}{3}\left( {R_2^3 - R_1^3} \right) = \hfill \\ \hfill \\ = \frac{{4\pi }}{3}\left( {{{19}^3} - {{16}^3}} \right) = ...? \hfill \\ \end{gathered} \]

OpenStudy (18jonea):

4.1866 (6,859 - 4,096)

OpenStudy (michele_laino):

sorry for my grammar mistakes

OpenStudy (michele_laino):

ok! so, what is the final result?

OpenStudy (18jonea):

iots not a sphere is it

OpenStudy (michele_laino):

your pie is perfectly spherical as I can read from the text of your question

OpenStudy (18jonea):

11,567.5758

OpenStudy (michele_laino):

that's right! I got 11567,76, so we chan round off that result to 11,567.8 cm^3

OpenStudy (18jonea):

ok thanks

OpenStudy (michele_laino):

thanks!

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