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 vol

Question

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.
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Thiên Ân 5 years 2021-09-05T10:09:22+00:00 1 Answers 634 views 0

Answers ( )

  1. trungdung22
    1
    2021-09-05T10:10:24+00:00
    Reply

    Given :-

    A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form a cylinder.

    To Find :-

    Difference between volume

    Solution :-

    At first

    Way 1

    Let’s take height as breadth and Length as circumference

    35 = 2 × 22/7 × r

    35 × 7 = 2 × 22 × r

    245 = 44r

    245/44 = r

    4.5 cm ≈ r

    Now,

    Volume = πr²h

    Volume = 22/7 × 5.5² × 28

    Volume = 22/7 × 30.25 × 28

    Volume = 22 × 30.25 × 4

    Volume = 2662 cm²

    Way 2

    Lets take Length as height and Breadth as circumference

    28 = 2 × 22/7 × r

    28/2 = 22/7 × r

    14 = 22/7 × r

    14 × 7/22 = r

    4.4 = r

    Now,

    Volume = πr²h

    Volume = 22/7 × 4.4² × 35

    Volume = 22/7 × 19.36 × 35

    Volume = 22 × 19.36 × 5

    Volume = 2130 cm²

    Now,

    Difference = 2662 – 2130

    Difference = 532 cm

    Formula Used Here :-

    \large \sf Circumference = 2 \pi r\\\\ Volume = \pi {r}^{2} h\\\\ Difference = V_1 - V_2

    Know More :-

    Area of Circle = πr²

    TSA of cuboid = 2(lb + bh + lh)

    CSA of cuboid = 2h(l + b)

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )