two word are used in braket
Answers
Answer:
Words in brackets
Brackets, sometimes called square brackets, are most often used to show that words have been added to a direct quotation. Sometimes, when quoting a person or document, adding a word or two is necessary to provide enough context for the quote to make sense
Explanation:
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Answer:
A rectangular metal sheet of length 44 cm and breadth 11 cm is folded along its length to form a cylinder. Find its volume.
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Solution−
Given that,
A rectangular metal sheet of length 44 cm and breadth 11 cm is folded along its length to form a cylinder.
Let assume that
Radius of cylinder be r cm.
Height of cylinder be h cm.
Now, Since a rectangular metal sheet of length 44 cm is folded along its length to form a cylinder.
It means, Circumference of base of cylinder is 44 cm
\begin{gathered}\rm \: 2 \: \pi \: r \: = \: 44 \\ \end{gathered}
2πr=44
\begin{gathered}\rm \: 2 \: \times \: \dfrac{22}{7} \: \times r \: = \: 44 \\ \end{gathered}
2×
7
22
×r=44
\begin{gathered}\rm \: r \: = \: \dfrac{44 \times 7}{2 \times 22} \\ \end{gathered}
r=
2×22
44×7
\begin{gathered}\bf\implies \:r \: = \: 7 \: cm \\ \end{gathered}
⟹r=7cm
Now, we have to find the volume of cylinder whose radius is 7 cm and height 11 cm.
We know, Volume of cylinder of radius r and height h is given by
\begin{gathered}\boxed{ \rm{ \:Volume_{(Cylinder)} \: = \: \pi \: {r}^{2} \: h \: }} \\ \end{gathered}
Volume
(Cylinder)
=πr
2
h
So, on substituting the values, we get
\begin{gathered}\rm \: Volume_{(Cylinder)} \: = \: \dfrac{22}{7} \times 7 \times 7 \times 11 \\ \end{gathered}
Volume
(Cylinder)
=
7
22
×7×7×11
\begin{gathered}\rm \: = \: 22 \times 7 \times 11 \\ \end{gathered}
=22×7×11
\begin{gathered}\rm \: = \: 1694 \: {cm}^{3} \\ \end{gathered}
=1694cm
3
Hence,
\begin{gathered}\rm\implies \:\boxed{ \rm{ \:\rm \: V