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In this video, let's discuss about Spears, what is the spear?

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This is an example of a spear.

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It looks like a ball right now.

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We need to know a few important things about the spear.

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First, let's understand what is a total surface area of the spear that is this part over here.

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Right.

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But total surface area of a spear is given us for by our square.

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All right.

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So you need to remember this.

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All right.

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Now, what about the volume of the spear?

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The volume of the spear is given us four by three by our cube.

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So this is the volume of the spear.

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Now, let's take the case of Amy Spear.

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So this is an example of a spear right over here.

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It has a circular base and this is half of it, but it's like cutting the spear into two.

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All right.

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Now, the cut to the surface area of the spear that is this part will be half of the total surface area

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of the spear.

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That is by our square by two.

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Therefore, the current surface area over here is two by our square.

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Now, what about the total surface area to the curved surface area?

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You need to add the area of this circular base rate.

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So that would be to Pyar Square.

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This this one over here.

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Plus Pyar Square.

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Right.

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That's true.

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By our square, less by our square, which is equal to three by our square.

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All right.

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And what about the volume of the hemisphere?

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That would be half the volume of the spill.

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That's four by three by our tube.

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By two, which is equal to two by three by our cube.

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All right.

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Now, we have seen the case of a spear and the case of the hemisphere.

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Now, let's try to analyze the case of Sperry can sell.

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All right, now, as medical shell will have some empty space inside it right now, if you have a spiritual

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shell and you cut it and look at the cross section, it will look like this.

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You will have a larger radius and a smaller radius.

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Now, how would you find the volume of this particular shell?

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That would be four by three by into our cube, minus our cube.

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Why is that so?

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Or that this is the same as four by three by our cube, minus four by three by our cube.

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Right.

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But what is it that we are doing?

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If it was not a spiritual center, if it was a proper sphere, the volume would have been four by three

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by a cube.

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From that.

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We are subtracting this part.

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Right, which is hollow.

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So that part has a volume of four by three by ArcView.

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Where are is the smaller radius?

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That's why the volume of this particular cell is given us or by three pi into our cube.

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Minus are cube.

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All right.

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Now what is the total surface area?

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You will have a surface area on the outside and on the inside this part.

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Right.

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So the total surface area will be the surface area over here that's on the outside, plus the same thing

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on the inside.

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So that's four pi into our square plus our square.

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Remember, this is the same as or by our square, which is what you have on the outside plus or by our

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square.

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This is the surface area on the inside.

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Now, these are the important formula and concepts that you need to know about the spear, mepa and

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spherical.