Question

What is the volume of a spherical segment whose base has a height of 2 cm and the diameter of the sphere measures 6 cm... The answer says it's 28/3 *pi* cm^3 , but I didn't get that one... I need a guide, so I can even show my procedure

Answer 1

I need to apply this formula=

\[V=\frac{ 2 }{ 3 }\pi*r ^{2}h-\frac{ 1 }{ 3 }\pi*R ^{2}\left( r-h \right)\]

Answer 2

@ShadowLegendX @TheSmartOne

Answer 3

@Shad0w

Answer 4

@skullpatrol

Answer 5

May I guide you?

Answer 6

of coursee you can @3mar

Answer 7

what is your advice?

Answer 8

@zepdrix

Answer 9

you got it.

Answer 10

take a look of my procedure...

Answer 11

did you see?

Answer 12

yes i have used the formula you gave.
volume of sector of height 2=2/3 pi 3^2*2=36/3pi
volume of cone =1/3 pi r^2 (R-h)
=1/3 pi (sqrt 8)^2 (3-2)=8pi/3
then subtract.
you need only volume ,no area.

Answer 13

we need volume of cap only.

Answer 14

radius of sphere 6/2=3 cm

Answer 15

that's right! however I took h= 1 cm because exercise says that base is above centre "O" a distance of 2 cm, so "h" is the height that starts from base until the top of the sphere

Answer 16

so, you say I should take as "h" value 2 cm instead of 1 cm right?

Answer 17

thanks @sshayer

Answer 18

Sorry, I was not here!
but I think @sshayer did it very well... thanks to him