A circular sector can be folded into a cone by joining its two radii. For a circular sector with a radius equal to 1, what is the maximum volume of the cone? If the circular sector has a central angle θ, what is the value of θ at the maximum volume?
A hemispherical is made of steel, 0.25cm thick. The inner radius of the bowl is 5 cm. find the outer curved surface area of the bowl and also find the total surface area and volume.
A cylinder has a volume of 500 ml and a minimum surface area. Calculate the dimensions of the cylinder’s radius and height.
What is the maximum volume of a cone inscribed in a sphere of radius 6?
Note: share your workings also
