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Arada [10]
3 years ago
8

How do i answer this please?!

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

h=7\sqrt{2} -4\sqrt{3} cm

Step-by-step explanation:

Given,

Total surface are of cylinder = 56\pi \sqrt{6} \ cm^2

Radius= 4\sqrt{3}\ cm

We have to find 'h'.

Using formula for,

Total surface area of cylinder

= 2\pi rh+ 2\pi r^2\\2\pi r(h+r)

Now plugging the corresponding values,

56\pi \sqrt{6} =2\pi r(h+r)\\56\pi \sqrt{6} =2\pi\times4\sqrt{3}(h+4\sqrt{3})\\7\sqrt{6} = \sqrt{3}(h+4\sqrt{3})\\7\sqrt{2} =(h+4\sqrt{3} )\\7\sqrt{2}-4\sqrt{3}=h\\ or\\h=7\sqrt{2}-4\sqrt{3} \ cm

Therefore, the height in the required format is 7\sqrt{2}-4\sqrt{3} \ cm

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