CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The ratio of the curved surface area to the total surface area of a right circular cylinder is 1 : 3. Find the volume of the cylinder if its total surface area is 1848 cm2.

Open in App
Solution

Let the radius of the cylinder be r and its height be h.As,CSA of the cylinderTSA of the cylinder=13CSA of the cylinder=13×TSA of the cylinderCSA of the cylinder=13×1848CSA of the cylinder=616 cm22πrh=616 .....iAlso,TSA of the cylinder=1848 cm22πrh+2πr2=1848616+2πr2=1848 Using i2πr2=1848-6162×227×r2=1232r2=1232×72×22r2=196r=196r=14 cmSubstituting r=14 cm in i, we get2π×14×h=6162×227×14×h=61688h=616h=6168h=7 cmNow,Volume of the cylinder=πr2h=227×14×14×7=4312 cm3

So, the volume of the cylinder is 4312 cm3.


flag
Suggest Corrections
thumbs-up
2
BNAT
mid-banner-image