Question

A toy is in the form of a cylinder of diameter 2 root 2 m and height 3.5m surmounted by a cone whose vertical angle is 90 degree. Find total surface area of the top.

Answer 1

total surface area = πrl + π×r×r

Answer 2

Answer:

Area is $23.175m^2$

Step-by-step explanation:

Given a toy is in the form of a cylinder of diameter $2\sqrt2m$ and height 3.5m surmounted by a cone whose vertical angle is 90°. We have to find the total surface area of the top.

Radius of cylinder is $\sqrt2m$

The slant height if cone is $\sqrt{h^2+r^2}=\sqrt{(\sqrt2)^2+3.5^2}=3.8m$

Total surface area of top=CSA of cone+Area of circle

                                        =$\pi rl+\pr r^2$

                                        =$\pi(r\times3.8+r^2)$

                                        =$\frac{22}{7}(\sqrt2\times3.8+2)$

                                        =$23.175m^2$