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

Q: consider a right circular cylinder open top tin can with volume 1000cm3. Suppose R and H are the…

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Q: Help with #4

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Q: consider a right circular cylinder open top tin can volume 1000cm^3. suppose R and H are the base…

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A: let side of cube is x then rate at which side increase is 5 m/secie.  dxdt=5 m/sec

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Q: For y = x3-7x2+15x-9 from x=1 and x=2 and above the x-axis, find the volume that results from…

A: The volume of the solid can be calculated by using the following formula.

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Q: Q2: A wooden cubic made from 150 cm? of boarding, as shown in the figure. By using the Lagrange…

A: Since the area of wooden boarding is 150 cm2. Therefore, the sum of the area of all six faces of the…

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A: desnsity:     γ(r)=R+r2rγ0 Radius of planet is given. So considering the planet as a sphere, Volume…

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Q: The volume of a right circular cone of radius a and height y is given by - Txʻy. Suppose that the…

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

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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: 4.) Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm3. 8 cm 10 cm…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The volume of a right circular cone is 36 t. If its altitude is 3, find its radius.

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Q: The volume of a right circular cone of radius r and height h is V = Tr²h. Show that if the height…

A: Here is the solution of the given problem.

Q: Q2: A wooden cubic made from 150 cm' of boarding, as shown in the figure. By using the Lagrange…

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Q: A cone is to be constructed so that, if its radius is r, its height must be h = 100 – r2. We wish to…

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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.