Question

the radius and height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm . find its height and radius.
Plssssssss answer

Answer 1

let the radius be 5x and height be 7x

given

$= > CSA \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5500 \: {cm }^{2} \\ \\ = > 2\pi \: r \: h \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 5500 \\ \\ = > 2 \times \frac{22}{7} \times 5x \times 7x = 5500 \\ \\ = > {44} \times 5 {x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5500 \\ \\ = > {x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5500}{44 \times 5} \\ \\ = > {x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 25 \\ \\ = > x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{25} \\ \\ = > x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5$

therefore

height = 7x = 7 x 5 = 35 cm

radius = 5x = 5 x 5 = 25 cm

Answer 2

Answer:

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