Math, asked by User70659, 16 days ago

the radius and height of a right circular cylinder are in ration 5;7 and its curved surface area is 220 cm square find its radius and height

Answers

Answered by sourishsarkarkgec
1

Answer:

Radius = 5cm , Height= 7cm.

Step-by-step explanation:

Radius = 5x

Height = 7x

curved surface area = 2πrh = 220

=> 2* 22/7 * 5x *7x = 220

=> 220 x² = 220

=>x² = 1

=> x=1

Radius = 5cm , Height= 7cm.

Answered by DeeznutzUwU
0

        \text{The radius and height of a cylinder are in the ratio }5:7

        \text{Let the common factor be }x

\implies \: \text{Radius}(r) = 5x \; \; ; \; \; \text{Height}(h) = 7x

        \text{We know that CSA of a cylinder} = 2\pi rh

\implies \: 220 \; cm^2 = 2 \pi (5x)(7x)

\implies \: 220 = 2 \times \dfrac{22}{7}\times(5x)(7x)

\implies \: 220 = 220 x^2

\implies \: x^2 = 1

\implies \: x = \± 1

        \text{Since, length cannot be negative}

\implies \: x = 1

\implies \: \boxed{r = 5x = 5(1) = 5 \; cm \; \; ; \; \; h = 7x = 7(1) = 7 \; cm}

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