Question

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

• A. undefined
• B. undefined
• C. undefined
• D. undefined

Answer 1

Total surface Area = curved surface area of cylinder + curved surface area of cone
Slant weight of cone $\sqrt{r^2+h^2}$
$=\sqrt{2^2+6^2}$
$=\sqrt{40}$

Curved surface area of cone $=\pi rl=3.14\times 2\times \sqrt{40}=39.71c{m}^2$
Curved surface area of hemispharl $=2\pi r^2=2\times 3.14\times 2^2=25.12c{m}^2$
Total surface area $=64.83c{m}^2$