The volume of a cylinder is 48.125cm, which is formed by rolling a rectangular
paper shect along the length of the paper. If a cuboidal box (without any lid i.e
open at the top) is made from the same sheet of paper by cutting out the square of
Side 0.5cm from each of the four corners ot the paper sheet, then what is the
volume of this box ?
Answers
Answered by
0
Answer:
20 cm
Step-by-step explanation:
20
c
m
3
l
=
2
π
r
⇒
r
=
l
2
π
where r is the base radius of cylinder and l is the length of paper and h = b, where h is the height of cylinder and b is the breadth of the paper.
∴
Volume of cylinder
=
π
r
2
h
=
π
×
(
l
2
π
)
2
×
b
⇒
π
×
l
2
b
4
π
2
=
48.125
=
385
8
⇒
l
2
b
=
11
×
11
×
5
⇒
l
=
11
and
b
=
5
(
∵
l
>
b
)
∴
Volume of the box
=
l
×
b
×
4
=
10
×
4
×
0.5
=
20
c
m
3
Similar questions