Question

Volume of cylinder is 448  π cu cm and height is  7cm.Find its CSA and TSA 

Answer 1

Given,

Volume of cylinder = 448 π cm³

Height = 7 cm

Calculation:-

Volume of cylinder = πr²h

448 π = π * r² * 7

r² = 448 / 7

r² = 64

r = √64

r = 8 cm

Curved surface area of cylinder = 2πrh

= 2 * 22/7 * 8 * 7

= 352 cm² Ans.

Total surface area of cylinder = 2πr (r + h)

= 2 * 22/7 * 8 (8 + 7)

= 2 * 22/7 * 8 * 15

= 754.28 cm² Ans.

Answer 2

Hi Nikki,
volume of cylinder=πr²h
 πr²h=448π
r²h=448
7r²=448
r²=448/7
r²=64
r=8cm
CSAof cylinder=2πrh

                        =2X22/7X8X7

                        =352 cm²

TSA=2πr(h+r)
   
      =2X22/7X8(15)
     
      =352/7X15
 
      =754.28cm²
__________________________________________________________________________________________________________________________