Question

A solid cylinder has TSA of 462cmsq . Its LSA is 1/3of the tsa . Find the volume

Answer 1

Answer: MARK AS BRAINLIST

TOTAL SURFACE AREA OF THE CYLINDER(TSA)=462CM²

CURVED SURFACE=1/3 OF TSA

=1/3 X 462

=154CM²

 AREA OF EACH CIRCLE=(462-154)/2

=154CM²

PI*R²=154

R²=49

R=7

2PI*R*H=154

H=154*7/22*7

H=3.5

VOLUME=PI*R²*H=22/7*49*35/10

VOLUME=539CM³

Answer 2

Answer:

volume= 1627 cu. cm

Step-by-step explanation:

TSA= 462cm square

CSA= 1/3TSA

=> CSA= 1/3*462

=> 2πr^2 = TSA - CSA

=> = 462 - 1/3*462

=> = 2/3*462

=> 2πr^2 = 2*154

=> r^2 = 49

=> r = 7 cm

TSA = 2πrh

=> 462 = 2πrh

=> h = 10.5 cm

volume = πr^2h

=> = 22/7 *7*7*10.5

=> = 231*7

=> = 1617cu. cm

I hope this will hel you