Question

the curved surface area of a cylinder is 3960 cm square and its volume is 41580 cm cube find the radius and height of a cylinder​

Answer 1

Answer:

CSA of cylinder = 3960cm²=2πrh

VOL of cylinder = 41580πr²h

using given values.....substitute in the place of formulas and simplyfy..... u wil get the answer

Answer 2

The height and radius  of the cylinder is  30 cm and 21 cm

Step-by-step explanation:

here ,

curved surface area of a cylinder = 3960

$2\pi rh = 3960\\\\2\times\frac{22}{7}\times r\times h = 3960\\\\rh = 630\\\\h = \frac{630}{r}$

now ,

volume  of a cylinder = 41580

$\pi r^2 h = 41580\\\\\frac{22}{7}\times r^2 \times h =41580\\\\\frac{22}{7}\times r^2 \times \frac{630}{r}= 41580\\\\r = \frac{41580 \times 7}{22\times 630}\\\\r = 21 cm$

now , height = $\frac{630}{r}= \frac{630}{21}= 30$

hence , The height and radius  of the cylinder is  30 cm and 21 cm

#Learn more:

The radius of the earth is approximately 3960 miles find the approximate surface area to volume ratio of the earth

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