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anonymous
 one year ago
The volume of a cone is 183.26 cubic feet and its radius is 5 feet. What is the cone's height? Round to the nearest foot. Use 3.14 for \pi .
anonymous
 one year ago
The volume of a cone is 183.26 cubic feet and its radius is 5 feet. What is the cone's height? Round to the nearest foot. Use 3.14 for \pi .

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1here we have to use this formula: \[\Large V = \frac{{\pi {r^2}h}}{3}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1where V is the volume of the cone, r is the radius of its base, and h is the height of the cone

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3\frac{ 183.26}{ 3.14*5*5 }\]is the formula @Aliypop

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so do 3.14*5*5 first @Aliypop

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1from that formula above we get: \[h = \frac{{3V}}{{\pi {r^2}}} = \frac{{3 \times 183.26}}{{3.14 \times 5 \times 5}} = ...feet\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep now do 183.26/78.5

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: \[h = \frac{{3V}}{{\pi {r^2}}} = \frac{{3 \times 183.26}}{{3.14 \times 5 \times 5}} = 3 \times 2.335 = ...feet\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what's the next step ?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1as I wrote before, what is: 3*2.335=...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so7.005 is the answer?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! sorry @Aliypop you have to round off to the hearest unit of foot

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what does 0 tell u to do to 7 Hint less than 5 means stay the same

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no it would be 7 Don't forget to medal and fan if you already haven't. Plus send me a message if you need more help @Aliypop

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Carson's Bakery and Chocolate Shop is experimenting with making chocolate in the shape of different types of sports equipment. Bayside High School's Volleyball team has ordered 100 solid white chocolate volleyballs. What volume of white chocolate is needed to fill this order if the radius of each volleyball is 4 cm? Rounded to the nearest tenth of a cubic centimeter. Use 3.14 for \pi .

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it appeared wrong again

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we did this already didnt we? @Aliypop

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@welshfella @welshfella

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 211 now as the answer

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: the volume V of a sphere is given by the subsequent equation (pi=3.14): \[\begin{gathered} V = \frac{{4 \times 3.14}}{3}{r^3} = \frac{{12.56}}{3} \times {r^3} = \hfill \\ \hfill \\ = \frac{{12.56}}{3} \times {4^3} = \frac{{12.56}}{3} \times 64 = ...? \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I got this: \[\begin{gathered} V = \frac{{4 \times 3.14}}{3}{r^3} = \frac{{12.56}}{3} \times {r^3} = \hfill \\ \hfill \\ = \frac{{12.56}}{3} \times {4^3} = \frac{{12.56}}{3} \times 64 = 267.85c{m^3} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1sorry I have made an error, here is the right result: \[\begin{gathered} V = \frac{{4 \times 3.14}}{3}{r^3} = \frac{{12.56}}{3} \times {r^3} = \hfill \\ \hfill \\ = \frac{{12.56}}{3} \times {4^3} = \frac{{12.56}}{3} \times 64 = 267.9466c{m^3} \hfill \\ \end{gathered} \] so the total volume of the requested chocolate is: \[V = 100 \times 267.9466 = 26794.66 \cong 26794.7c{m^3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so rounded to the nearest foot it is 267.9

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1267.9 is the volume of a single volleyball

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the requested volume of needed white chocolate is: \[V \cong 26794.7c{m^3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The new business building uptown is building a wall made entirely of glass pyramids. Each pyramid will have a square base with length of 8 inches and height of 10 inches. If the wall requires 250 of these pyramids, what volume of glass will be used? Round to the nearest cubic inch.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have to compute the volume V of a single pyramid. So, we can apply this formula: \[\Large V = \frac{1}{3}L \times L \times H\] where L is the length of the square base, and H is the height of the pyramid: dw:1438014203141:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1substituting your data, we have: \[\begin{gathered} V = \frac{1}{3}L \times L \times H = \hfill \\ \hfill \\ = \frac{1}{3}8 \times 8 \times 10 = \frac{{640}}{3} = ...inche{s^3} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1Now, we have 250 of such pyramids, so the requested volume of needed glass, is: \[{V_{TOTAL}} = 213.3333 \times 250 = \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1that's right! Now we have to round off that result to the nearest unit, so we get: \[{V_{TOTAL}} = 213.3333 \times 250 = {\text{53333}}{\text{.325}} \cong {\text{53333}}inche{s^3}\]
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