Question

a solid cyclinder has total surface area of 464 sq cm its curved are is one third of its total surface are.find the volume of the cylinder​

Answer 1

csa of cylinder =1/3 t. s. a of cylinder

2pirh=1/3x2(lb+bh+hl)

2(lb+bh+hl)=464

lb+bh+hl=232

2pi r h=1/3x232

pirh =232/3x2

pirh=116/3

22/7rh=116/3

rh=116/3x7/22

rh= 2552/21

r=2552/21h

volume of cylinder =pirsquareh

= 22/7x(2552/21h)squareh

=22/7x2552/21hx2552/21hxh

=22/7x2552x2552/21hx21

=20468498.286/h