A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13cm and 5cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if height of the conical part is 12cm.

Explanation

Surface area of cone= `pi*r*l=pirsqrt(r^2 +h^2)`

= `22/7*5*sqrt(5^2+ 12^2)=1430/7 cm^2`

surface area of hemisphere = `2pir^2`
=`2*22/7*5^2=1300/7 cm^2`

Surface area of cylinder= `2pirh=2*22/7*5*13=2860/7cm^2`

Total Surface area= `(1430+1300+2860)/7=5590/7cm^2`