the ratio of the curved surface area to the total surface area of the

1.	the ratio of the curved surface area to the total surface area of the right circular cylinder is 1: 3 find the volume of the cylinder if its total surface area is 1848 CM square
Answer» Curved surface area/Total surface area = 2πr(r+h)/2rh =>1/3=2πr(r+h)/2πrh=>r=2h (after calculating) Total surface area is 1848cm^2=>2πr(r+h) =1848cm^2=>2π x 2h x(2h+h) =1848cm^2 (r=2h)=>h^2=49=>h=7 if h=7cm than r = 2x7=14cm Volume of cylinder =πr^2h=(22/7) x (14)^2 x 7 = 4312cm^3 (ans)

the ratio of the curved surface area to the total surface area of the right circular cylinder is 1: 3 find the volume of the cylinder if its total surface area is 1848 CM square

Answer»

Curved surface area/Total surface area = 2πr(r+h)/2rh

=>1/3=2πr(r+h)/2πrh=>r=2h (after calculating)

Total surface area is 1848cm^2=>2πr(r+h) =1848cm^2=>2π x 2h x(2h+h) =1848cm^2 (r=2h)=>h^2=49=>h=7

if h=7cm than r = 2x7=14cm

Volume of cylinder =πr^2h=(22/7) x (14)^2 x 7 = 4312cm^3 (ans)