what is the perimeter of the base of a cylinder
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Answer:
Height=10 cm
Circumference of base=15.4 cm
\begin{gathered}2\pi r = \frac{154}{10} \\ 2 \times \frac{22}{7} \times r = \frac{154}{10} \\ r = \frac{154 \times 7}{10 \times 2 \times 22} \\ \\ r = \frac{1078}{440} = 2.45\end{gathered}
2πr=
10
154
2×
7
22
×r=
10
154
r=
10×2×22
154×7
r=
440
1078
=2.45
Radius of cylinder=2.45 cm
\begin{gathered}volume \: of \: cylinder \\ \pi r {}^{2} h = \frac{22}{7} \times 2.45 \times 2.45 \times 10 \\ = \frac{22}{7} \times \frac{245}{100} \times \frac{245}{100} \times 10 \\ = \frac{13205500}{70000} \\ = 188.65\end{gathered}
volumeofcylinder
πr
2
h=
7
22
×2.45×2.45×10
=
7
22
×
100
245
×
100
245
×10
=
70000
13205500
=188.65
So, volume of cylinder is 188.65cm^3.
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