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Mathematics 17 Online
OpenStudy (abbie):

10 medals- need help @hartnn

OpenStudy (abbie):

OpenStudy (abbie):

hartnn (hartnn):

lets do 18th first, its easier Surface Area of Sphere \(\Large = 4\pi r^2\) here, r = 60 is given, just plug in!

hartnn (hartnn):

keep \(\pi\) as \(\pi\) only

hartnn (hartnn):

for the 17th , use these formula \(\Large V_{prism} = l wh\) \(\Large V_{pyramid} =\dfrac{ lwH}{3}\) l = 24, w = 3, h = height of prism = 12 H = height of pyramid = 21 then add the 2 volumes

OpenStudy (ranga):

|dw:1400907139947:dw|

OpenStudy (abbie):

@stastaoh sorry i already did 18 juat didnt notice I put it

hartnn (hartnn):

ok, so use the formulas i gave you, for 17th

OpenStudy (abbie):

yeah I drew that in my notebook so do i calculate the volume of the rectangular prism first?

hartnn (hartnn):

yes

hartnn (hartnn):

you can calculate any volume first, prism volume is easier

OpenStudy (abbie):

864

OpenStudy (abbie):

what do I do next?

hartnn (hartnn):

calculate volume of pyramid V = lwH/3 l =24 w=3 H=21

OpenStudy (abbie):

504

hartnn (hartnn):

good, the volume of composite figure would be the sum of these 2 volumes

hartnn (hartnn):

864+504=...

OpenStudy (abbie):

1368

hartnn (hartnn):

\(\huge \color{red}{\checkmark \quad \ddot \smile}\)

OpenStudy (abbie):

can you help me with a few more?

hartnn (hartnn):

i can try :)

OpenStudy (abbie):

aright thnx ill post them in a sec

OpenStudy (abbie):

OpenStudy (abbie):

hartnn (hartnn):

22 : just check the ratio of sides is 4/24 = 3/18=16/96 if all those 3 ratios are equal, then 2 figures are similar

OpenStudy (abbie):

they arent

OpenStudy (abbie):

?

hartnn (hartnn):

they are 4/24 = 1/6 3/18 = 1/6 16/96 = 1/6

OpenStudy (abbie):

oh sorry

OpenStudy (abbie):

my first choice was 1:6 so is that correct?

hartnn (hartnn):

yes! "ys, 1:6" is correct :) for 24, scale factor is ratio of sides which is cube root of ratio of volumes \(\Large S = \sqrt[3]{\dfrac{1331}{85184}}=...\) use calculator.

OpenStudy (abbie):

ok 11/44

hartnn (hartnn):

which is 1/4 :)

OpenStudy (abbie):

correct?

hartnn (hartnn):

correct!

OpenStudy (abbie):

kk well thnx again for explaining them to me I really appreciate your help :)

hartnn (hartnn):

welcome ^_^ happy to help :)

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