Question

the volume of a cylinder is 200 cm cube its height is 10 cm. find the area of its base.

Answer 1

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Answer 2

$<b>hello$

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Volume of cylinder = 200cm^3

Height of cylinder = 10 cm

$volume \: of \: cylinder \: = \pi \: r {}^{2} h \\ \\ 200 \: = \frac{22}{7} \times {r}^{2} \times 10 \\ \\ 1400 = 22 \times r {}^{2} \times 10 \\ \\ 1400 = 220 \times {r}^{2} \\ \\ \frac{70}{11} = {r}^{2} \\ \\ \sqrt{ \frac{70}{11} } = r$

NOW , AREA OF Cylinder = pi r^2

$= > \frac{22}{7} \times ( \sqrt{ \frac{70}{11} } ) {}^{2} \\ \\ = > \frac{22}{7} \times \frac{70}{11} \\ \\ = > \frac{1540}{77} \\ \\ = > 20cm {}^{2}$

SO,Area of its base is 20cm^2...

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