Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius r.

Q: A big cube is made of 216 smaller cubes of length 1 cm. If the centre cube on each face and all…

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Q: A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicu- lar to the…

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Q: Find the dimensions of the cone of maximum volume inscribed in a sphere of radius 8 cm. [Note:…

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Q: Show that the right circular cylinder of given surface and maximum volume is such that its height is…

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Q: If interest in a bank account is compounded continuously, the amount grows at a rate that is…

A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: Determine the triangle of maximum area that can be inscribed in a circle of radius 1.

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Q: A cone with radius 5 and height of 10 is intersected herirontally by a plane. At the point of…

A: Given data, Radius of cone, R = 5 units Height of cone, H = 10 units A plane is intersection…

Q: What is the maximum volume of a cone that would fit this box?

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Q: Which is greater, the surface area of a cone of height 10 and radius 20 or the surface area of a…

A: The dimensions of first cube: Height is h1=10 units Radius is r1=20 units The dimensions of second…

Q: Two identicals spheres of radius 6 intersect so that the distance between their centers is 10. The…

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Q: The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m…

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Q: How to calculate the volume of a complex 3D figure that has both spherical and flat parts?

A: Given: A complex 3D shape has both spherical and flat part. To determine: Method for finding volume…