A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form a cylinder. Find the difference in the volumes of cylinders formed.(zs)
Answers
Given rectangular sheet of paper is rolled along its breadth length = 28 cm breadth = 22 cm Hence height of cylinder, h = 28 Circumference of the base of cylinder = 2πr = 22 cm 2 × (22/7) × r = 22 Therefore, r = 7/2 = 3.5 cm Volume of cylinder = πr2h = (22/7) × (3.5)2 × 28 = 1078 cu cm Thus the volume of the cylinder ...
Answer:
First way of making cylinder :
Taking breadth as height and the length as circumference of circle .
( for finding radius ) :
circumference of circle = 2πr
let the radius be x.
35 = 2×22/7 × x
5.5 cm ( approx ) = x
.
(i) Volume of cylinder = πr^2h
= 22/7 × 5.5^2 × 28
= 2660 cm^3
second way of making cylinder :
taking breadth as the circumference of circle and length as height
circumference of circle = 2πr
let the radius be x.
28 = 2×22/7×x
x = 4.45 ( approx)
.
(ii) volume of cylinder = πr^2h
= 22/7 × 4.45^2 × 35
= 2177 cm^3
.
difference of volumes of two of the cylinders =
2660-2177 = 483
.
.
Hope it helps...!!!!!