Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume of the smaller wedge cut from a sphere of radius 4 by two planes that intersect along a diameter at an angle of x/4.

Q: Use polar coordinates to find the volume of a sphere of radius a.

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Q: Find the volume of a spherical cone whose base segment has an altitude of 6 cm and the radius of the…

A: Given.

Q: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

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Q: for

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Q: . A sphere has radius 7 m. Use 7 = * the sphere. to find the approximate area of

A: The area of a sphere of radius r is given by the formula A=4πr2.

Q: Find the volume of the oblique rectangular prism below. Round your answer to the nearest tenth if…

A: Given: Oblique rectangular prismTo Find: Volume of the rectangular prism

Q: The radius of gyration of the area :shown about the x axis is Y 6 4 304 1.73 3.

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Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

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Q: Find (a) the volume and (b) the surface area of the sphere. Use 3.14 as an approximation for z. 52…

A: Volume= 43πr3 Surface area=4πr2

Q: For the given section as shown, determine the surface area and the volume of the solif that will be…

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Q: Find the approximate volume of a sphere with radius length r = 2.7 cm.

A: Given: The radius of a sphere is, r=2.7 cm. The volume of a sphere can be calculated as, V=43πr3…

Q: For a sphere whose radius has length 7 cm, find the approximate a) surface area. b) volume.

A: surface area of a sphere is 4πr2 square unitsvolume of a sphere is 43πr3 cubic units.where r is the…

Q: An ice cream cone is filled with ice cream in the form of a hemisphere placed on top. The diameter…

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Q: Find the surface area of a cylinder with a height of 6 in and a base radius of 2 in.

A: surface area of the cylinder = 2 pai r h

Q: What is the surface area of the Right Cylinder below Diameter AB%3D37, and height BC=26.

A: We have to find the surface area of right cylinder

Q: Find the surface area of the solid correct to the nearest square unit. Note that the container does…

A: Here we have  the radius of the cylinder is a=1.9 cm and the height of the cylinder is b=2.5 cm We…

Q: The circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. Find its volume.

A: we have been given that the circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. we…

Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

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Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume of the…

A: Given:A sphere of radius 10 by two planes that intersect along a diameter at an angle of π/2.

Q: The volume of a sphere is given by V =³, where V is th

A: Given that the volume of a sphere is given by V=45πr3, where V is the volume and r is the radius. If…

Q: A storage bin is shaped as in the figure. The radius of the cylindrical top is 7 ft. The overall…

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Q: Find the volume of liquid needed to fill a sphere of radius R to height (R/4).

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Q: Find the volume of a cap of a sphere with radius r=65 and height h=47.

A: Given,           The volume of a cap of a sphere with radius r=65 and height h=47.We know that,…

Q: Use calculus to find the volume of a cap of a sphere with height h and radius r.

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Q: Find the volume of liquid needed to filla sphere of radius R to height . R

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Q: Find the surface area of the sphere with the given dimension. Leave your answer in terms of T.…

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Q: Find the surface area of a sphere whose radius length is r = 7 in. Use your calculator to…

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Q: Find the total surface area of this cone. Leave your answer in terms of T. 15in 12in SA = [? ]T in?

A: We need to find the total surface area of the cone whose  Radius, r= 12 in  Slant height, l= 15 in…

Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Find the surface area of a sphere with a 3ft radius in terms of ?

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Q: Determine the volume V generated by revolving the quarter-circular area about the z-axis through an…

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Q: Draw a rectangular cylinder with a radius of 4 in. and height of 5 in. Give any cross secions of…

A: ANSWER IS AS BELOW:

Q: Calculate the area pf a spherical triangle whose radius is 5 m and whose angles are 40 degrees, 65…

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Q: What is the volume of the cone?

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Q: The vertices of a triangle are at (0,0), (6,6), and (9,3) . What is the volume, in cubic units, of…

A: The figure by hand is show below of the given question:

Q: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

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Q: A grain silo has a cylindrical shape. Its radius is 7 ft, and its height is 33 ft.

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Q: nd the radius of a sphere with volume z 113.04 in³.

A: Given that Volume of sphere = 113.04 in2

Q: Use spherical coordinates to find the volume of the part of the ball ? ≤ 2 that lies between the…

A: Given that ? ≤ 2 that lies between the cones ? = ?/6 and ? = ?/3. Use spherical coordinates we have…

Q: Find the volume of the area surrounded by spherical p= a and p = 2acoso

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Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

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Q: Find the volume V and surface area S of a sphere of radius 3 feet.

A: Given Radius = 3 feet

Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

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Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a si…

A: We have equation of surface is  z=e-x2+y2 Since we have to find area of the surface above the disk…

Q: . Find the volume of the sphere by using spherical coordinate system where the radius of sphere is 7

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Q: . Find the volume of the oblique circular cylinder. The axis meets the plane of the base to form a…

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Q: what is the surface area of a circular cone with a radius of 6ft and a height of 14ft?

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Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

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Q: The central angle of a spherical wedge is 1 radian. Find its volume if its radius is 1 unit.

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