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Please help me quick

Please help me quick-example-1

1 Answer

7 votes


\:\:\:\:\:\:\longrightarrow \sf \underline{V_((cylinder) ) = \pi\:r^2\:h \: cubic \:units }\\

Where -

  • V= Volume of cylinder
  • π =
    \sf(22)/(7)= 3.1416..........
  • r = Radius of cylinder.
  • h = Height of cylinder.

As per question, we are given that-

  • V= 1800 in³
  • r = 7 inch
  • π =3.14

Now that, we are given all the required values, so we can put all the values into the formula and solve for the height -


\:\:\:\:\:\:\longrightarrow \sf \underline{Volume _((cylinder) ) = \pi\:r^2\:h }\\


\:\:\:\:\:\:\longrightarrow \sf 1800= 3.14 * \bigg(7\bigg)^2 * h\\


\:\:\:\:\:\:\longrightarrow \sf 1800 = 3.14 * 7* 7* h\\


\:\:\:\:\:\:\longrightarrow \sf 1800 =3.14 * 49 * h\\


\:\:\:\:\:\:\longrightarrow \sf 1800 =153.86* h\\


\:\:\:\:\:\:\longrightarrow \sf 153.86* h=1800\\


\:\:\:\:\:\:\longrightarrow \sf h = (1800)/(153.86)\\


\:\:\:\:\:\:\longrightarrow \sf h = 11.69894...........\\


\:\:\:\:\:\:\longrightarrow \sf \underline{ h =11.69\: inch }\\

Therefore, the length of height
\sf \underline{ \pink{11.69\: inch }}\\

answered
User Tony Graham
by
7.8k points

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