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The solid shown was formed by cutting a right circular cylinder in half. If the base has a radius of 6 cm and the height is 10 cm, what is the total surface area, in terms of $\pi$, of the solid?

AdminMod2  Sep 26, 2017
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4+0 Answers

 #1
avatar
+1

Area of top hemicircle + bottom semicircle = πr2​ = π*62 = 36π

Area of side rectangle = lh = 2*6(length is 2*radius)*10 = 120m2

Area of outer curve = lh = π*6(1/2 circumference is length)*10 = 60π 

Total surface area = 96π + 120

Hope this helps!

 

Edit: I cannot English anyway so...

Guest Sep 26, 2017
edited by Guest  Sep 26, 2017
 #2
avatar+91229 
+2

Thanks for giving that comprehensive answer  laugh

 

I suspect there is a little problem with the English language here.

 

Half a sphere is a hemisphere

but

Half a circle is a semicircle.    

 

Don't ask me why ://

Melody  Sep 26, 2017
edited by Melody  Sep 26, 2017
 #3
avatar+829 
+2

“Simi” is used if the root word is Latin based; “Himi” is used if the word is Greek based.

“Dimi” is used if the word came in to use when the English were adopting words from the French.

 

One of Chimp Stuart’s (Lancelot Link’s professional translator) favorite words covers all the bases:   hemidemisemiquaver—a 64th note. 

 

Source:  (Note the author’s post has a “Naus-like” troll overtone in his writing style and vocabulary)

 https://www.quora.com/Whats-the-difference-between-the-prefixes-semi-hemi-and-demi-notably-seen-in-hemidemisemiquaver-i-e-a-64th-note

GingerAle  Sep 26, 2017
 #4
avatar+91229 
+2

Thanks Ginger :)

Melody  Sep 26, 2017

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