Question

A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5cm and 3cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is 30cm​

Answer 1

Height of the cylindrical part =13cm

Radius of cone , cylinder and hemi sphere=5cm

r=5cm for hemisphere cylinder and cone.

Height of cone h=30−5−13=12

The area of canvas required=Surface area of hemishphere,cylinder and cone parts of tent

A=2πr

2

+2πrH+πr(

h

2

+r

2

)

A=2π×5×5+2π×5×13+π×5(

5

2

+12

2

)

A=770cm

2