1.

The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?1). 2472002). 2695003). 3125004). 341800

Answer»

The RATIO of curved surface AREA of a right CIRCULAR CYLINDER to the total area of its two bases is 2 : 1;

Since total surface area of cylinder is 23100 cm2

∴ Curved surface area = 2πrh = 2/3 × 23100 = 15400 cm2

And Area of the base = 1/2 × 1/3 × 23100 = 3850 cm2

⇒ πr2 = 3850

R2 = 1225

⇒ r = 35 cm

And

2πrh = 15400

h = (15400 × 7) / (22 × 35 × 2)

h = 70 cm

Volume of the cylinder = πr2h = 22/7 × 35 × 35 × 70 = 269500 cm3


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