o find the length of cabe whose volume
is 1000cm3.
Answers
Answer:
\begin{gathered}{\bf{Given\::}} \\ \end{gathered}
Given:
Radius of a cylindrical tank is 154 cm.
➛ 154 cm
➛ \begin{gathered}\tt{\dfrac{154}{100}} \\ \end{gathered}
100
154
➛ 1.54 m
Height of water level is 3 m.
Some water to a height of 4.5 metres is poured into it.
\begin{gathered} \\ {\bf{To\: Find\::}} \\ \end{gathered}
ToFind:
Increase in volume of water.
\begin{gathered} \\ {\bf{Solution\::}} \\ \end{gathered}
Solution:
As we know that,
✯ Volume of the cylinder, when water level is upto 3 m, is
\begin{gathered}\dashrightarrow\:\tt{(Volume)_1\:=\:\dfrac{22}{7}\times{(1.54)^2}\times{3}\:} \\ \end{gathered}
⇢(Volume)
1
=
7
22
×(1.54)
2
×3
✯ After water level increase upto 4.5 m, then it's volume is,
\begin{gathered}\dashrightarrow\:\tt{(Volume)_2\:=\:\dfrac{22}{7}\times{(1.54)^2}\times{4.5}\:} \\ \end{gathered}
⇢(Volume)
2
=
7
22
×(1.54)
2
×4.5
Let,
v be the increase in volume of water.
Then,
✯ Increase in volume of water is,
\begin{gathered}:\implies\:\tt{v\:=\: (Volume)_2\:-\:(Volume)_1\:} \\ \end{gathered}
:⟹v=(Volume)
2
−(Volume)
1
\begin{gathered}:\implies\:\tt{v\:=\:\left(\dfrac{22}{7}\times{(1.54)^2}\times{4.5}\right)\:-\:\left(\dfrac{22}{7}\times{(1.54)^2}\times{3}\right)\:} \\ \end{gathered}
:⟹v=(
7
22
×(1.54)
2
×4.5)−(
7
22
×(1.54)
2
×3)
\begin{gathered}:\implies\:\tt{v\:=\:\dfrac{22}{7}\times{(1.54)^2}\times{(4.5\:-\:3)}\:} \\ \end{gathered}
:⟹v=
7
22
×(1.54)
2
×(4.5−3)
\begin{gathered}:\implies\:\tt{v\:=\:\dfrac{22}{7}\times{1.54}\times{1.54}\times{1.5}\:} \\ \end{gathered}
:⟹v=
7
22
×1.54×1.54×1.5
\begin{gathered}:\implies\:\tt{v\:=\:22\times{0.22}\times{1.54}\times{1.5}\:} \\ \end{gathered}
:⟹v=22×0.22×1.54×1.5
\begin{gathered}:\implies\:\bf\pink{v\:=\:11.1804\:m^3\:} \\ \end{gathered}
:⟹v=11.1804m
3
⠀⠀⠀⠀ : Conversion into Litres :
\dashrightarrow\:\bf{1\:m^3\:=\:1000\: Litres} ⇢1m
3
=1000Litres
\dashrightarrow\:\tt{11.1804\:m^3\:=\:(1000\times{11.1804})\: Litres} ⇢11.1804m
3
=(1000×11.1804)Litres
\dashrightarrow\:\bf{11.1804\:m^3\:=\:{\pink{11180.4\: Litres}}\:} ⇢11.1804m
3
=11180.4Litres
∴ Increase in volume of water is 11180.4 L.
Answer:
volume of cube=s³
therefore v=1000³.
v=10
therefore v=10cm
Step-by-step explanation:
I hope that it will help u