Question

plz answer the qs which is in the attachment...​

Answer 1

The cylinder

x2+y2=16

cut off an ellipse from the plane

x+2y+2z=12

The projection of the ellipse in the x-y plane is given by the circle:x2+y2≤16

with radius R=4

and area A=πR2=16.

The ratio between the area of the circle and the area of the ellipse is given by the cosαcos⁡α, αα being the angle between the normal to the plane and the zz axis.

Thus: normal to the plane: n⃗ (1,2,2)⟹cosα=23n.

The area of a quarter of ellipse is thus:

The area of a quarter of ellipse is thus:S=3/2⋅4π=6π

Answer 2

Answer:

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