Question

The total surface area of a cylinder with height 5 cm is 88 sq cm. Find its radius. 11​

Answer 1

Answer:

2cm

Step-by-step explanation:

TSA of cylinder = 88 cm^2 (given)

=> 2pi r ( r + h) = 88

=> pi r ( r + 5) = 88/2 = 44

=> r ( r+5 ) = 44/pi

=> r ( r + 5) = 14

=> r^2 +5r - 14 = 0

=> r -2r + 7r -14=0

=> r (r-2) + 7 (r-2) =0

=> (r-2)(r+7)=0

therefore, either r = 2 or r = -7 ( which is not possible )

hence, the radius of cylinder = 2cm.