the volume of container is given by V=pi/3(r2 + 36)(12-r) where r is the radius. if the volume is maximum, find the value of r

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A: Recall: Volume of sphere, V=43πr3

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Q: (a) Approximate µV . (b) Approximate σV . (c) Write the estimate of the volume, along with the…

A: Given,the volume of the tank, ..To,find, and estimate of the volume along with the estimated error.

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Q: What is the radius of X x² + y² – 6x = -4y + 68? Show all work for full credit.

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

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Q: he volume of a sphere generated by revolving the upper half of a circle with center (0,0) and radius…

A: r = 4

Q: #11) The lateral area of a cylinder is 648TT, and the height is 54. Find the radius.

A: Given :           the lateral area of the cylinder = 648π…

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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.