Question

the ratio of height to cylinder with equal base radius is 2 ratio 5 the ratio of their curved surface will be​

Answer 1

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$\large\mathcal\red{solution}$

let h1 and h2 be the height of the cylinders

$\frac{h1}{h2} = \frac{2}{5}$

now let the radius of both equal base cylinder is =r

now curved surface area of both cylinders are....

a1=2πrh1

a2= 2πrh2

therefore....

$\frac{a1}{a2} = \frac{2\pi \: r \: h1}{2\pi \: r \: h2} = \frac{h1}{h2} = \frac{2}{5}$

therefore the ratio of their curved surface areas is equal to the ratio of their height i.e., 2:5

$\underline{\large\mathcal\red{hope\: this \: helps \:you......}}$