A toy is in the shape of cylinder with hemisphere on one end and a cone on the other end - Maths - Surface Areas and Volumes

Question

A toy is in the shape of cylinder with hemisphere on one end and a
cone on the other end The radius and height of the cylindrical part
are 5cm and 13cm respectively If the total height of the toy, find
the surface area of the toy

Eram Naaz · Accepted Answer

Dear student,
In your question the total height is missing So, assuming ig to be
30 cm I have posted the answer below
â€‹â€‹â€‹â€‹â€‹â€‹<img alt=""
src=
"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/127392%20png">
We have,the base radius of cone=the base radius of cylinder=the base radius of hemisphere=r=5 cm,the height of the cylinder, H=13 cm,the total height of the toy=30 cmAlso, the height of the cone, h=30-13+5=12 cmThe slant heigt of the cone, l=r2+h2=52+122=25+144=169=13 cmNow, the surface area of the toy=CSA of cone+CSA of cylinder+CSA of hemisphere=πrl+2πrH+2πr2=πrl+2H+2r=227×5×13+2×13+2×5=227×5×13+26+10=227×5×49=770 cm2

So, the surface area of the toy is 770 cm2
Regards

A toy is in the shape of cylinder with hemisphere on one end and a cone on the other end. The radius and height of the cylindrical part are 5cm and 13cm respectively. If the total height of the toy, find the surface area of the toy.