Question

find the total surface area of each of the following cylinders

Answer 1

1. TSA : 2 πr(r+h)
2×22/7×7(7+10)
44×17=748 cm^2

Answer 2

Total Surface Area of cylinder:

1.  $\bold {748\ cm^2}$

2.$\bold {892.61\ cm^2}$

Step-by-step explanation:

1.Given,Radius of cylinder = 7 cm

 Height of cylinder = 10 cm

We know that,$\bold {Total\ Surface\ Area\ of\ cylinder\ = 2\pi r(r+h)}$

                                                                           =$2\times \frac{22}{7}\times 7\times (7+10)}$

                                                                           = $2\times \frac{22}{7}\times 7\times (17)}$

                                                                           = $\bold {748\ cm^2}$

$\bold {Hence,Total\ Surface\Area\ of\ cylinder\ = 748\ cm^2}$

2.Given,Height of Cylinder = 7 cm

   Area of base = $250\ cm^2$

  We know that,

  $Area\ of\ base = \pi r^2$

$250 = 3.14\times r^2$

r = 8.92 cm

So,$\bold {Total\ surface\ Area\ of\ cylinder\ = 2\pi r(r+h)}$

                                                       = $2\times \frac{22}{7}\times 8.92\times (8.92+ 7)$

                                                       = $\bold {892.61\ cm^2}$

$\bold {Hence,Total\ Surface\Area\ of\ cylinder\ = 892.61\ cm^2}$