ConJider a snun ball mettng ina harm ruom. Suppoje thct heSNUN hail maintaini the shape uf a bal hnen it melts. the Volume Vmeasured in (uhic incn) (ind surfle area s imeasured in squareincn ) uf the snuw hall and iMe t(measured in hour) stif45deLet r be the radius (measured in incn) uf tne snuw ball.Therand S be Conmpurted by the following formulasS 4 Tr2)(a) Find drldt(b)when uIT squcre inches, ind dsldt

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Asked Nov 11, 2019
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ConJider a snun ball mettng ina harm ruom. Suppoje thct he
SNUN hail maintaini the shape uf a bal hnen it melts. the Volume V
measured in (uhic incn) (ind surfle area s imeasured in square
incn ) uf the snuw hall and iMe t(measured in hour) stif
45
de
Let r be the radius (measured in incn) uf tne snuw ball.Ther
and S be Conmpurted by the following formulas
S 4 Tr2
)
(a) Find drldt
(b)when uIT squcre inches, ind dsldt
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ConJider a snun ball mettng ina harm ruom. Suppoje thct he SNUN hail maintaini the shape uf a bal hnen it melts. the Volume V measured in (uhic incn) (ind surfle area s imeasured in square incn ) uf the snuw hall and iMe t(measured in hour) stif 45 de Let r be the radius (measured in incn) uf tne snuw ball.Ther and S be Conmpurted by the following formulas S 4 Tr2 ) (a) Find drldt (b)when uIT squcre inches, ind dsldt

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Expert Answer

Step 1

Given,

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dv (i) -4s dt 4 πΥ Since, V and s 4πr2

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Step 2

Now, differentiating the V wit...

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d(r3) d(r) dv dr 4πr2 dt 4 = - 4 п (3r?) dt dt dt dt dv and s in equation (i), we get dt Now, putting the value of dv . dt -4s dr -4(4r2 4Tr2 dt dr >4π72 dt -16πη2 dr 4 dt

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Calculus

Derivative

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