1. Use cylindrical coordinatcs Find the Volume of the solld that ies within both the cylinder yty²-25 0 land the sphere X'tj +Z²=49

Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1²…

A: surface area of the surface given by equation z=f(x,y) A=∫∫Dfx2+fy2+1dA D is the region on xy plane

Q: nx+2sinx Q2.a) lim sin (-)+ sec 3+x b) Find the volume generated by revolving the region enclosed…

A: Limits and volume of revolution is

Q: find The volume of Ihe solid generated by revolving each vegion enclosed by he triangle wilh…

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Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

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Q: 1) Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

A: Answer

Q: 12. Use cylindrical coordinates to find the volume of the solid inside the sphere x² + y² + z² = 16…

A: We have to calculate the volume inside the sphere  and outside the cone

Q: 10. Find the volume of the part of the unit ball that lies above the cone x² + y² = 3x².

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Q: Use spherical coordinates to find the volume of the top half of the sphere x? + y? + z? = 4 that…

A: Given that a sphere x2+y2+z2=4 and a cone is z2=x2+y2 We have to find the volume of the top of the…

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A: Given y2=4ax and y=x Volume rotating about y- axis = π ∫ab x22 - x12 dy

Q: Find the volume of the solid that lies within both the cylinder x2 + y2 = 4 and the sphere x2 + y2 +…

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Q: 24 22. Find the volume generated by revolving about Ox the area bounded by the Ans. ra³. hyperbola…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Find the lateral surface area of the part of the cylinder a + y = 1 that lies within the sphere z²…

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Q: Use spherical coordinates to find the volume of a solid that lies above the xy- plane, outside the…

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Q: Find the surface area of the part of the sphere x? + y² + z? = 4 that lies above the cone z = I² +…

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2…

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Q: Use cylindrical coordinates to determine the volume of the solid that is enclosed by the cone z =…

A: Volume by cylindrical coordinates

Q: y. గ + = (8 K a 3x 2. ナS! pand functror by 人 1=+,x hq papunag region in the first guadrant Portion…

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Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = √√√x² +…

A: In this question, we will find the volume of the given solid by using cylindrical coordinate .