1. ## related rate problem

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm. (Give your answer correct to 4 decimal places.)
$\frac{ds}{dt}=-3$

$d=12$

$S=4$π $r^2$

$2r=x, r=\frac{x}{2}$

$\frac{ds}{dt}=2$π $x\frac{dx}{dt}$

$-3=2$π $(12)\frac{dx}{dt}$

$\frac{dx}{dt}=\frac{-3}{24pi}$

=-.039788
to 4 decimal places, $-.0398$
I got the .

2. Originally Posted by hazecraze
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm. (Give your answer correct to 4 decimal places.)
$\frac{ds}{dt}=-3$

$d=12$

$S=4$π $r^2$

$2r=x, r=\frac{x}{2}$

$\frac{ds}{dt}=2$π $x\frac{dx}{dt}$

$-3=2$π $(12)\frac{dx}{dt}$

$\frac{dx}{dt}=\frac{-3}{24pi}$

=-.039788
to 4 decimal places, $-.0398$
I got the .
Did it a little differently, but I get the same solution.