Mathematics, 25.12.2019 21:31 elijahjacksonrp6z2o7
The bottom portion of a loading bin is cone shaped. the base radius of this part of the bin is 3.5 feet and the slant height is 6.5 feet. what is the capacity and lateral surface area of this part of the bin? round your answer to the nearest hundredth. lateral surface area = sq. ft. volume = cu. ft.
Answers: 2
![\bf \textit{lateral surface of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} ~~ r=radius\\ sh=\stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=3.5\\ sh=6.5 \end{cases}\\\\\\ LA=\pi (3.5)(6.5)\implies LA\approx71.47 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{sh}{6.5}=\sqrt{r^2+h^2}\implies 6.5=\sqrt{3.5^2+h^2}\implies 6.5^2=3.5^2+h^2 \\\\\\ 6.5^2-3.5^2=h^2\implies \sqrt{6.5^2-3.5^2}=h\implies \sqrt{30}=h \\\\[-0.35em] ~\dotfill](/tpl/images/0433/1786/ab2b1.png)
![\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3.5\\ h=\sqrt{30} \end{cases}\implies V=\cfrac{\pi (3.5)^2\sqrt{30}}{3}\implies V\approx 70.26](/tpl/images/0433/1786/6b306.png)
Another question on Mathematics
Mathematics, 21.06.2019 20:00
Donald has x twenty-dollar bills and 11 ten-dollar bill. how much money does donald have? write your answer as an expression.
Answers: 2
Mathematics, 21.06.2019 21:00
Sweet t saved 20 percent of the total cost of the green-eyed fleas new album let there be fleas on earth. if the regular price is $30 how much did sweet save
Answers: 1
Mathematics, 21.06.2019 21:00
When solving this problem: 3025/5.5 = a/90.75 you get 49912.5 which would be the length of one of the sides of a square when the area is only 90.75 inches. is that answer correct, why, and how is it possible?
Answers: 1
You know the right answer?
The bottom portion of a loading bin is cone shaped. the base radius of this part of the bin is 3.5 f...
Questions
History, 11.11.2020 06:40
Computers and Technology, 11.11.2020 06:40
Law, 11.11.2020 06:40
Mathematics, 11.11.2020 06:40
Mathematics, 11.11.2020 06:40
Chemistry, 11.11.2020 06:40
Chemistry, 11.11.2020 06:40
English, 11.11.2020 06:40
Computers and Technology, 11.11.2020 06:40
History, 11.11.2020 06:40
Mathematics, 11.11.2020 06:40
Mathematics, 11.11.2020 06:40
Mathematics, 11.11.2020 06:40
