    Question

# The difference between the outer curved surface area and the inner curved surface area of a hollow cylinder is 352 cm2. If its height is 28 cm and the volume of material in it is 704 cm3; find its external curved surface area.

A
528 cm2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
520 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
525 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
527 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 528 cm2Let r1= outer surface area, r2= inner surface area, length h=28Outer curved surface area of cylinder =2πr1hcm2Inner curved surface area of cylinder =2πr2hcm2Difference between two curved surface area cylinder =2π(28)(r1−r2)=352cm2r1−r2=2.......(1)Volume of cylinder =π(r21−r22)h=π(r21−r22)(28)=704r21−r22=8.....(2)Solving, (2),(r1−r2)(r1+r2)=82(r1+r2)=8r1+r2=4.....(3)From (1) and (3), r1=3,r2=1External curved surface =2πrh=2π(3)(28)=528cm2  Suggest Corrections  0      Similar questions  Related Videos   Lateral Surface Area of Cylinder
MATHEMATICS
Watch in App  Explore more