Question

The height of a cylinder is 10cm and the ratio of it's volume to it's LSA is 3:2 find it's radius... plz anyone answer it​

Answer 1

Step-by-step explanation:

• Here, given that
• Volume of cylinder : LSA of cylinder = 3:2
• πr^2h : 2πrh = 3:2
• πr^2h/ 2πrh = 3/2
• r/2 = 3/2
• 2*r = 3*2
• Radius = 6/2 = 3 cm.
• Check :
• Volume = πr^2h = 22/7*3*3*10 = 22*90/7 = 1980/7 cm^3
• LSA = 2πrh = 2*22/7*3*10 = 44*30/7 = 1320/7 cm^2
• Volume /LSA = 3/2
• 1980/7 /1320/7 = 3/2
• 1980/7*7/1320 = 3/2
• 1980/1320 = 3/2
• 99/66 = 3/2
• 9/6 = 3/2
• 3/2 = 3/2
• Hence,Radius = 3 cm.