Question

A toy is in the form of a cone surmounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. (Use π = 3.14)

Answer 1

Given that, a toy is in the form of a cone surmounted on the hemisphere.

Diameter of the baseand the height of the cone, then we have to find the surface area of the toy.

We have the following figure

The radius of the base is

From the above figure, the slant height of the cone is

We know that when the surface area of the cone is, then

The surface area of the hemisphere is

Therefore the surface area of the toy is

Hence,