the ratio of csa to tsa of a right circular cylinder is 1:3.find the volume of the cylinder if its tsa is 1838sq cm
tsa of cylinder = 2pir(h+r)
csa of cylinder = 2pirh
now , 2pirh/2pir(h+r)=1/3
3h=h+r
2h=r
so, 2*22/7*2h(h+2h) = 1838
on solving we get h = 7 cm (approx.)
r=3.5cm
volume of cylinder = pi *r*r*h
=269.5cm3
csa of cylinder = 2pirh
now , 2pirh/2pir(h+r)=1/3
3h=h+r
2h=r
so, 2*22/7*2h(h+2h) = 1838
on solving we get h = 7 cm (approx.)
r=3.5cm
volume of cylinder = pi *r*r*h
=269.5cm3