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Unofficialllyy
 one year ago
Can someone help with this geometry problem? I will fan and medal!
Unofficialllyy
 one year ago
Can someone help with this geometry problem? I will fan and medal!

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Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0The main tank has a radius of 70 feet. What is the volume of the quartersphere sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0I know I have to use the formula for volume of a sphere which is \[V=\frac{ 4 }{ 3 } \Pi r^3\] Then I plug in 70 to get \[V=\frac{ 4 }{ 3 } \Pi (70)^3\]

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Is this correct so far?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0well, yes, you are correct so far V is the volume of the entire sphere, so how do we find the volume of a quarter sphere?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Or would it be \[V=\frac{ 4 }{ 3}(\Pi 70^3)\]

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see. Hang on a sec

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0(as a side note, V = (4/3)(pi*70^3) is the same as V = (4/3)(pi)(70^3) because of order of operations)

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure, when I watched the help video it said to use the formula for the volume of a sphere.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0volume of a quartersphere = (1/4)*volume of sphere

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Volume of sphere: \[\frac{4}{3}\pi r^3\] Volume of 1 quarter of sphere: \[\frac{1}{4}\times\frac{4}{3}\pi r^3=\frac{1}{3} \pi r^3\]

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0So I find the volume first then multiply it by 1/4?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3yes, that will work. Or as I have shown you could multiply 70^3 by pi and divide by 3

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0i am stuck on the \[V=\frac{ 4 }{ 3 } \pi (70)^3\] part though. Like how do I go about solving this?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Do you have a calculator?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0Yes but I have to show all work.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3You have to show the multiplication and division?

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0I dont think so, just explain what I did. But yes I have a calculator

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Then put these steps on your paper: Volume of 1/4 sphere = 1/4 x 4/3 x pi x r^3

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Now cancel the fours and substitute 70 for r and write: V = 1/3 x 3.14 x 70x70 x 70

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0I think I got the answer. Is this right? \[V=359189\]

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.0That is rounded to the nearest whole number

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Now do 70 x 70 x 70 on your calculator and write: V = 1/3 x 3.14 x 343,000

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Now multiply that by 3.14 and divide by 3 and write: V = 359007 ft^3
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