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A spherical sphere of radius 4 cm is divided into eight equal parts

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A spherical sphere of radius 4 cm is divided into eight equal parts  [#permalink]

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New post 12 May 2016, 03:52
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A
B
C
D
E

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  45% (medium)

Question Stats:

65% (02:32) correct 35% (02:10) wrong based on 34 sessions

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A spherical sphere of radius 4 cm is divided into eight equal parts by cutting it in halves along the same axis as given in the attached image. Find the surface area of each of the final piece.
A.20π
B.25π
C.24π
D.19π
E.18π

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geometry.jpg
geometry.jpg [ 16.2 KiB | Viewed 7914 times ]

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Re: A spherical sphere of radius 4 cm is divided into eight equal parts  [#permalink]

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New post 12 May 2016, 05:15
1
1/8 th of a sphere can be imagined to have 3 different faces , two of which are semi-circles and the 3rd one to be the 1/8th of the outer surface of a sphere

So, the area of our outer surface of the sphere = 1/8 x 4 x pi x r^2 = 1/8 x 4 x pi x 4^2 = 8 x pi

Now, the area of the inner surfaces = 2 x Area of semi-circle = 2 x 1/2 x pi x r^2 = 16 x pi

Total area = 8 pi + 16 pi = 24 pi

answer : C
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Re: A spherical sphere of radius 4 cm is divided into eight equal parts  [#permalink]

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New post 07 Jun 2019, 04:13
hi, can anyone please explain the solution?
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Re: A spherical sphere of radius 4 cm is divided into eight equal parts  [#permalink]

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New post 07 Jun 2019, 04:55
how are 2 out of 3 faces semi circular? Can someone please explain?
TIA!
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A spherical sphere of radius 4 cm is divided into eight equal parts  [#permalink]

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New post 12 Jul 2019, 09:37
abhishek31 wrote:
hi, can anyone please explain the solution?


Imagine it as an orange. When we peel orange we have 8 slices of pieces in it. Each piece is semi circle..

When we from top they look like pizza cut, but if we see them from perspective view we can see them like the image below.

I hope you got it
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File comment: this is one piece..and there are 7 similar pieces.
TS_orange_slice_preview.pngfa769c1c-666c-4ca1-9dae-96fa5cb6e443Original.jpg
TS_orange_slice_preview.pngfa769c1c-666c-4ca1-9dae-96fa5cb6e443Original.jpg [ 72.63 KiB | Viewed 1646 times ]

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A spherical sphere of radius 4 cm is divided into eight equal parts   [#permalink] 12 Jul 2019, 09:37

A spherical sphere of radius 4 cm is divided into eight equal parts

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