plz solve no 43 and PLZ send me the solution 43 â ‹A solid - Maths - Surface Areas and Volumes of Solids

Question

plz solve no 43 and PLZ send me the solution

43 â€‹A solid cylinder of radius ' r ' and
height ' h ' is vertically cut in to two equal parts, then the
total surface area increased by _______

a             r h  
              b    
      r 2 h          
    c             2  
r h                 ( d )
        4 r h

Abhishek Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
Here r be the radius of cylinder and h be the height of the cylinder
TSA of Cylinder = 2πrh+2πr2          When Cylinder is cut vertically in to two equal parts we have;Each part will have two semi circular end , one curved  side and one rectangular side 
Area of two semi circular ends=πr2Area of one curved side=πrhArea of one rectangular side=2rhTSA of one part=πr2+πrh+2rhTSA of the two parts=2 πr2+πrh+2rh So, Increase in total surface area=TSA of the two part-TSA of Cylinder                                                  =2 πr2+πrh+2rh-2πrh+2πr2                                                  =2πr2+2πrh+4rh-2πrh-2πr2 =4rhTherefore, increase in total surface area is 4rh
Regards

plz solve no. 43 and PLZ send me the solution 43. ​A solid cylinder of radius ' r ' and height ' h ' is vertically cut in to two equal parts, then the total surface area increased by _______ a r h b r 2 h c 2 r h ( d ) 4 r h

plz solve no. 43 and PLZ send me the solution

43. A solid cylinder of radius $' r'$ and height $' h'$ is vertically cut in to two equal parts, then the total surface area increased by _______

$(a) r h (b) r^{2} h (c) 2 r h (d) 4 r h$