Mathematics, 21.10.2019 22:00 jason9394
Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. at what rate (in feet per hour) is the radius of the balloon changing when the volume is 300 ft3?
Answers: 1
be the radius and 
the volume.
because the volume is decreasing, and we want to find 
![V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}](/tpl/images/0339/3400/2a8dd.png)
![\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}](/tpl/images/0339/3400/7d703.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:40
Ajar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. find the probability of drawing a white or red marble on the first draw. 125 12 01 next question ask for turn it in
Answers: 2
Mathematics, 22.06.2019 00:20
❤️ (geometry) does the construction demonstrate how to copy an angle correctly using technology a) yes; the distance between points a and f was used to create circle h b) yes; the distance between points f and g was used to create circle h c)no; the distance between points a and f was used to create circle h d) no; the distance between points f and g was used to create circle h
Answers: 2
Mathematics, 22.06.2019 02:30
Paper plates cost $8 per package and plastic utensils cost $5 per package. your supplier delivers 15 packages for a total cost of $90.
Answers: 1
Mathematics, 22.06.2019 03:00
Gia opened two savings accounts at two different banks. one account earns an annual 3.4% simple interest, and the other earns half as much. if she deposited $500 in each account, how much total interest will she have earned in 5 years? a. $34.00 b. $25.50 c. $51.00 d. $510.00
Answers: 1
You know the right answer?
Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. at what rate (in feet per hour) i...
Questions
Mathematics, 19.09.2019 01:30
History, 19.09.2019 01:30
Mathematics, 19.09.2019 01:30
Mathematics, 19.09.2019 01:30
Mathematics, 19.09.2019 01:30
