Math, asked by OalishaO, 4 months ago

3) The area of the base of a cylinder is 120 sq.cm. Find the volume if its
height is 15cm.​

Answers

Answered by TheMoonlìghtPhoenix
14

Step-by-step explanation:

ANSWER:-

Given:-

  • The area of the cylinder as 120 cm²
  • We need to find the volume , given if its height is 15 cm.

Concept:-

Surface, area and volumes

Let's Do!

What we need to know is :-

\rm{Volume \ of \ Cylinder = \pi \times r^2 \times height}

This can be also written as :-

\rm{Volume \ of \ Cylinder = Area \ of \ the \ base  \times height}

So, following the notions of the given formula we need to place the values,

\rm{Volume \ of \ Cylinder = 120 \times 15}

So, we get the volume of the cylinder as 1800 cm³.

Things to Note:-

  • These types of questions occur less. So, we can also find the radius first in order to obtain the area.

This can be done as:-

\rm{120 = \pi \times r^2}

Taking value of pi as 22/7, we get

\rm{\dfrac{120 \times 7}{22} = r^2}

\rm{\sqrt{\dfrac{120 \times 7}{22}} = r}

Well, we can see it has a complicated architecture, so we can use the above method.


IdyllicAurora: Great !!
thebrainlykapil: You answer is good but Volume is measured in cube , you have written cm² but it should be cm³ .. Over all your answer is great !
TheMoonlìghtPhoenix: Got it, thank you so much!
thebrainlykapil: Most welcome :)
Anonymous: Awesome
Answered by thebrainlykapil
20

Question :-

  • The area of the base of a cylinder is 120 sq.cm. Find the volume if its height is 15cm.

 \\  \\

Given :-

  • Area of the Base = 120sq.cm
  • Height of the Cylinder = 15cm

 \\  \\

To Find :-

  • Volume of the Cylinder .

 \\  \\

Solution :-

 \\

 {:} \longrightarrow \sf \boxed{\bf{Volume \: of \: Cylinder \: = \: Area \: of \: the \: Base \: \times \: Height   }}\\

 \quad {:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder \: = \: 120\: \times \: 15   }}\\

 \quad {:} \longrightarrow \sf{\bf{Volume \: of \: Cylinder \: = \: 1800cm^{3}  }}\\

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\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{Volume \: of \: Cylinder \: = \underline {\underline{ 1800cm^{3}}}}\\\end{gathered}\end{gathered}

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More For Knowledge :-

\boxed{\begin{minipage}{6.2 cm}\bigstar$\:\underline{\textbf{Formulae Related to Cylinder :}}\\\\\sf {\textcircled{\footnotesize\textsf{1}}} \:Area\:of\:Base\:and\:top =\pi r^2 \\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:Curved \: Surface \: Area =2 \pi rh\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Total \: Surface \: Area = 2 \pi r(h + r)\\ \\{\textcircled{\footnotesize\textsf{4}}} \: \:Volume=\pi r^2h\end{minipage}}

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Ꚃhαtαkshi: that's ^^ amazing
Anonymous: Good
IdyllicAurora: Nice !
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