11- Find the volume of the solid that lies within both the cylinder x2 + y? = 1and the sphere x2 + y? + z? = 4

Q: 4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show…

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 63 - 7y and the plane x+…

A: The Volume of the solid , V=∫x1x2∫y1y2∫z1z2  f(x,y,z) dz dy dx

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: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

Q: Find the volume of the solid that lies inside both the cylinder x² + y² = 16 and the sphere x² + y²…

A: Given cylinder and sphere x2+y2=16x2+y2+z2=36 clearly, Here we need to find volume inside both…

Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

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Q: Find the volume of the solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

Q: inside y² + z² - x² = 1, in front of the yz-plane, and behind x =√15 (in feet).

A: We have to find the volume inside y2+z2-x2=1 in front of the yz- plane and behind the x=15

Q: Find the surface area of that portion of the sphere x² + y² +2²= 8 which lies in the first octant,…

A: The given problem is to find the surface area of portion of the given surfaces. Given portion of…

Q: Find the volume V which lies inside the sphere x + y' +(z – 5)² = 25 and outside the sphere x? + y?…

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Q: Which are the dimensions to a right rectangular prism with a volume of 270 cm³ and base area of…

A: This question is based on mensuration.

Q: Q3) Find volume of body from below z = x² + y² and above z = 1.

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Q: Find the volume of the solid cut from the cylinder x2 + y? = 25 by the planes z = 0 and x + z = 2.

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Q: る 4 z = 4 - x - y 1 2 y = x y = 2 3. 2.

A: Here we have to use the concept of double integral to find the volume of the given figure

Q: Q3: Find the volume of the solid enclosed by the parabola y = x² +z? and the cone y = 32 – x² - z2.

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Q: Q3/ The surfaces p = 3, p=5, p = 100, p = 130, z= 3, and z= 4.5 define a closed surface. Find (a)…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: If V=i +2j+3K, V,=zi +2j +2K, V = 3i+3 j +K, find the Volume?

A: Given vectors are V1→=i+2j+3kV2→=2i+2j+2kV3→=3i+3j+k So volume is V1→.V2→×V3→

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: 16. x + y? -16x-161=0

A: As this is multiple question, according to the Bartleby Answering Rule, only first question is to be…

Q: 3- a) Find the area of the region in the first quadrant between, y = IN and y = 1/4x² 2 b) Find the…

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Q: Find the AREA and VOLUME (Identify what type of volume) bounded by the equations; y = 4x - x² and x…

A: The given curves are y=4x-x2 and x+y=4 We have to find the area and the volume bounded by these…

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose…

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: (15) Evaluate ///, y dV where D is the solid cut from the cylinder 2² + y? = 1 by the planes z = 0…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.