Question

the TSA of solid cylinder is 231 cm sq. and its CSA is 2/3 of TSA . Find the volume of cylinder​

Answer 1

Answer:

TSA of cylinder = 6.28×rh + 6.28×r^2

CSA of cylinder = 6.28×rh = 2/3(6.28×rh + 6.28r^2)

6.28rh = 2×6.28r(h+r)/3

3h=2h+2r

h=2r

TSA = 6.28rh = 231

6.28×2r^2 = 231

12.56r^2=231

r^2=18.39

r=4.3

Volume = 3.14hr^2

= 6.28r^3

= 499.30cm cube

= 499.3cc or approx 500 cc

Answer 2

Step-by-step explanation:

•TSA =231 (given)

•CSA = 2/3 of TSA

= 2/3×231 = 154

•2πrh = 154

•TSA = 2πrh + 2πr^2

231= 154+2×22/7×r^2

231-154= 44/7r^2

77×7/44 = r^2

√49/4 = r

7/2 = r

3.5 = r

•CSA =154

2πrh = 154

2×22/7×35/10×h = 154

h = 7 cm

•now Volume = πr^2h

= 22/7 × 35/10×35/10×7

= 49×11/2

= 539/2

= 269.5 cm^3