Mathematics, 30.08.2019 21:30 daveankatie1671
Water is flowing out of a conical funnel through its apex at a rate of 12 cubic inches per minute. if the tunnel is initially full, how long will it take for it to be one-third full? what is the height of the water level? assume the radius to be 3 inches and the altitude of the cone to be 4 inches.
Answers: 1
![\bf 12\pi =\cfrac{\pi \cdot 3^2h^2 h}{4^2}\implies 12\pi =\cfrac{9\pi h^3}{16}\implies \cfrac{192\pi }{9\pi }=h^3 \\\\\\ \sqrt[3]{\cfrac{192\pi }{9\pi }}=h\implies \sqrt[3]{\cfrac{64}{3}}=h\implies \cfrac{4}{\sqrt[3]{3}}=h \\\\\\ \cfrac{4}{\sqrt[3]{3}}\cdot \cfrac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}=h\implies \cfrac{4\sqrt[3]{9}}{\sqrt[3]{3^3}}=h\implies \cfrac{4\sqrt[3]{9}}{3}=h](/tpl/images/0213/0327/fff6d.png)
Another question on Mathematics
Mathematics, 21.06.2019 13:00
Abuyer pays a deposit to the seller in advance before completing the transaction. which term best defines this? a. down payment b. earnest money c. mortgage application fee
Answers: 1
Mathematics, 21.06.2019 14:10
What is the slope of the line that contains the points (4,8) and (9,8)? what type of line is it?
Answers: 2
Mathematics, 21.06.2019 17:00
You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?
Answers: 2
Mathematics, 21.06.2019 17:40
Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)
Answers: 2
You know the right answer?
Water is flowing out of a conical funnel through its apex at a rate of 12 cubic inches per minute. i...
Questions
Mathematics, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
English, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Biology, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Mathematics, 30.11.2019 19:31
Social Studies, 30.11.2019 19:31
