find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 50cm

Expert Solution

milcah answered 2 years ago

Find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes...

Find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes and the plane x + 1/9y + 1/4z = 1

The radius is 1/3 meter greater than the height. The volume is 98/9ππ cubic meters. For the following exercises, find the dimensions of the right circular cylinder described.

For the following exercises, find the dimensions of the right circular cylinder described.The radius is 1/3 meter greater than the height. The volume is 98/9ππ cubic meters.

The volume of a right circular cylinder with base radius ? and height ℎ is given...

The volume of a right circular cylinder with base radius ? and height ℎ is given by: ? = ??^2ℎ. If the base radius is decreasing at a rate of 3 inches per minute and the height is increasing at a rate of 2 inches per minute, at what rate is the volume of the cylinder changing when the radius is 8 inches and the height is 3 inches. Will the volume be increasing or decreasing at this instant? Be...

Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint...

Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint that the sum of the length and the girth cannot exceed 192 inches (see figure). (Hint: Maximize V = xyz subject to the constraint x + 2y + 2z = 192.)

An infinitely long right circular cylinder has radius ?. There is a non-constant cylindrically symmetric volume...

An infinitely long right circular cylinder has radius ?. There is a non-constant cylindrically symmetric volume charge density ?(?), where ? is the (radial) distance from the axis of the cylinder, given by ?(?) = ((?0*?)/?)sin((2??)/?), where ?0 is a constant. 1. Consider a concentric cylinder with radius ? and length ?. Compute the total charge ?(?) inside the cylinder for 0 < ? < ? and for ? > ?. 2. Go back to the infinite cylinder setup and...

An observatory is to be in the form of a right circular cylinder surmounted by a...

An observatory is to be in the form of a right circular cylinder surmounted by a hemispherical dome. If the hemispherical dome costs 10 times as much per square foot as the cylindrical wall, what are the most economic dimensions for a volume of 10000 cubic feet?

14. If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio...

14. If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the volume of the sphere to that of the cylinder. 15. Determine the first quadrant point on the curve y2x = 18 which is closest to the point (2, 0). 16. Two cars are traveling along perpendicular roads, car A at 40 mph, car B at 60 mph. At noon when car A reaches the intersection, car B is 90 miles away, and moving toward it. At 1PM, what is the rate,...

Question