Question

A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved surface area of the shape if the length of the shape be 7 cm.

Answer 1

In the given problem, we are given a shape in which a cylinder is placed over a hemisphere. The radius of the hemisphere and the cylinder is equal and also the height of the cylinder is equal to the radius.

So, let draw a figure representing this shape and take the radius as r cm.

So, let us find the value of r first. From the figure, we can see that,

Also, height of the sphere = 3.5 cm (as radius and height of the cylinder are equal)

Now, the surface area of the shape is equal to the surface area of the hemisphere and surface area of cylinder together.

Surface area = surface area of hemisphere + surface area of cylinder

Therefore, the surface area of the given shape is