Answer :

As cylinder A’s radius is half of radius of cylinder B so its volume will be lesser than that of cylinder B.

Although Cylinder B’s height is half of height of cylinder A but as you know

while calculating the volume we need to square the radius so halving the radius has a greater impact than halving the height.

While calculating surface area, the curved surface area in both will be same and

the total surface area will be greater in the cylinder with the greater radius.

Now, volume of the cylinder = π r^{2} h

Thus, volume of cylinder A = = 539 cub. cm

Volume of cylinder B = = 1078 cub. cm

Also, curved surface area of a cylinder = 2πrh

Curved surface area of cylinder A = = 308 sq. cm

Curved surface area of cylinder B = = 308 sq. cm

Total surface area of Cylinder = 2 π r h + 2 π r^{2}

Total surface area of Cylinder A = 2 × = 385 sq. cm

Total surface area of Cylinder B = 2 × = 616 sq. cm

Hence the surface area of cylinder B is greater.

Rate this question :

A rectangular strRD Sharma - Mathematics

The radii of two RD Sharma - Mathematics

The ratio betweenRD Sharma - Mathematics

The height of a rRD Sharma - Mathematics

From a tap of innRD Sharma - Mathematics

How many cubic meRD Sharma - Mathematics

The difference beRD Sharma - Mathematics

A cylindrical tubRD Sharma - Mathematics

A cylindrical conRD Sharma - Mathematics

The trunk of a trRD Sharma - Mathematics