Math, asked by 12344678910, 2 months ago

please give me answer​

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Answered by FFdevansh
12

WRITTEN BY FFdevansh

Your required answer mate

The orange colour is the hemisphere cut from the cube.

So the new structure has 3 types of surfaces.

Blue/grey - 5 sides of cube, sides =a

Orange - hemispherical surface, radius = a/2

Yellow- Portion of 1 side of cube after cutting

Blue = 5 a2

Yellow = a2−pi(a/2)2

Orange = 2pi(a/2)2

Total = 5 a2 + a2−pi(a/2)2 + 2pi(a/2)2

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Answered by ItzDinu
28

\Huge\bf\maltese{\underline{\green{Answer°᭄}}}\maltese

\implies\large\bf{\underline{\red{VERIFIED✔}}}

It \:  is  \: given \:  that \:  a  \: hemisphere  \: of  \\   radius  \:  \frac{1}{2}  \:  is  \: cut \:  out \:  from  \\  the  \: top \:  face  \: of \:  the  \\  cuboidal \:  wooden \:  block. \\ Therefore,  \: surface \:  area  \: of  \: the \:  remaining  \\   solid  \:  = surface \:  area  \: of \:  the   \\ cuboidal \:  box  \: whose  \: each  \: edge \:  is   \\ of \:  length \:  l − Area \:  of \:  the \:  top  \: of \:  the \:  hemispherical   \\  part + curved \:  surface \:  area \:  of \:  the \:  hemispherical  \:  part</p><p>=6 {l}^{2} −π {r}^{2} +2π {r}^{2} \\=6 {l}^{2} −π( \frac{1}{2}  {)}^{2} +2π( \frac{1}{2}  {)}^{2}  \\ =6 {l}^{2} − \frac{π {l}^{2} }{4}  +  \frac{π {l}^{2} }{2}  \\ = \frac{ {l}^{2} }{4} (24+π) sq.units

 \boxed{I \:Hope\: it's \:Helpful}

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