Question

The difference between the total surface area and curved
surface area of a cylinder of base radius 10cm is________​

Answer 1

Answer:

your answer is 35 cm

C.S.A. of cylinder =4400 sq. cm.         

⇒2πrh=4400      

⇒(110)h=4400            

⇒h=1104400      

=40 cm   

Height =40 cm

Circumference of base of cylinder 110 cm

⇒2πr=110

⇒2×722×r=110

⇒r=235

⇒r=17.5 cm

Diameter 2r=2(235)=35 cm

hope it helps you

Answer 2

The difference between  the value of  the total surface area and curved

surface area of a cylinder of base radius 10cm is $200\pi\ cm^{2}$.​

Explanation:

Given - The cylinder's of base radius 10 cm.

Let  the cylinder's radius  is p.

     The  cylinder's height  is q.

 The cylinder's Curved surface area  $=2\pi\ p\ q$

The cylinder's total surface area=The cylinder's curved surface area+The cylinder's surface  area of ( top+bottom)

                                                     $=2\pi \ p\ q+ 2\pi \ p^{2}$

The difference between  the value of the total surface area and curved

surface area of a cylinder=The cylinder's total surface area-The cylinder's curved surface area

                                         $=2\pi \ p\ q+ 2\pi \ p^{2}-2\pi\ p\ q$

                                         $= 2\pi \ p^{2}$

As given-cylinder's  base radius 10 cm.

p= 10cm

The difference between the value of  the total surface area and curved

surface area of a cylinder $= 2\pi \ p^{2}$

                                           $= 2\pi \times 10^{2} \ cm^{2}$  $=2\pi \times 100\ cm^{2}$

                                          $= 200\pi \ cm^{2}$

Thus, the difference between the value of the total surface area and curved surface area of a cylinder is $200\pi \ cm^{2}$ .

PROJECT CODE #SPJ3