Question

A container is made by surmounting a cylinder of height 'h' cm
the base of a hemisphere as shown in the figure. If radii of bases
of both the cylinder and hemisphere are 'r'cm, then the curved
surface area of the container is​

Answer 1

Given:-

A container is made by surmounting a cylinder of height 'h' cm the base of a hemisphere as shown in the figure. If radii of bases of both the cylinder and hemisphere are 'r'cm..

To find:-

CSA of the container

Solution:-

CSA of a container=CSA of Hemisphere+CSA of cylinder

CSA of a hemisphere=${2π(Radius)^2}$=${2π r^2}$

CSA of a hemisphere=2π(Radius)(height)=2πrh

_______________

CSA of container=${2πr^2+2πrh}$

ㅤㅤㅤㅤ =${2πr(r+h)cm^2}$

_________________

Hence,

Option D. 2πr(r+h)cm^2 is correct✔️