Question

the curved surface area of cylinder is 17600 CM square and the circumference of its base is 220 cm find height and volume of cylinder

Answer 1

Hi friend
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Your answer
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CURVED SURFACE AREA OF THE CYLINDER = 17600 cm²

CIRCUMFERENCE OF ITS BASE = 220 cm

NOW,
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CIRCUMFERENCE = 2πr

SO,
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2×π×r = 220
$r = \frac{220 \times 7 }{22 \times 2} \\ r = 35 \: cm$
THUS, RADIUS = 35 cm

NOW,
---------
CURVED SURFACE AREA = 2πrh

SO,
-----

2×π×r×h = 17600
$h = \frac{17600 \times 7}{2 \times 22 \times 35} \\ h = 80 \: cm$

NOW,
--------

VOLUME = πr²h

$\frac{22}{7} \times (35) {}^{2} \times 80 \\ = 30800 \: cm {}^{3}$

THEREFORE, THE VOLUME OF THE CYLINDER IS 30800 cm³.

HOPE IT HELPS

#ARCHITECTSETHROLLINS

Answer 2

Answer:

Hi friend

-------------

Your answer

-------------------

CURVED SURFACE AREA OF THE CYLINDER = 17600 cm²

CIRCUMFERENCE OF ITS BASE = 220 cm

NOW,

--------

CIRCUMFERENCE = 2πr

SO,

-----

2×π×r = 220

\begin{gathered}r = \frac{220 \times 7 }{22 \times 2} \\ r = 35 \: cm\end{gathered}r=22×2220×7r=35cm

THUS, RADIUS = 35 cm

NOW,

---------

CURVED SURFACE AREA = 2πrh

SO,

-----

2×π×r×h = 17600

\begin{gathered}h = \frac{17600 \times 7}{2 \times 22 \times 35} \\ h = 80 \: cm\end{gathered}h=2×22×3517600×7h=80cm

NOW,

--------

VOLUME = πr²h

\begin{gathered} \frac{22}{7} \times (35) {}^{2} \times 80 \\ = 30800 \: cm {}^{3} \end{gathered}722×(35)2×80=30800cm3

THEREFORE, THE VOLUME OF THE CYLINDER IS 30800 cm³.