Question

the diameters of two cylinders are in the ratio 5 ratio 6 find the ratio of their Heights if their volume are equal​

Answer 1

let ur ratio be of first cyl 2.5 and 3 of other one and then the formula of volume of cylinder is pie r square into h ..then 22/7×2.5×2.5×h(write this equation up) divided by 22/7×3×3×h.. substitute the values

Answer 2

Answer:

Let height of first cylinder be (h1)

Let height of second cylinder is (h2)

Let the first cylinder Diameter (d1)=5cm

Let the second cylinder Diameter (d2)=6cm

Radius of first cylinder(r1)=2.5cm

Radius of second cylinder (r2)=3

${} \small{ \underline{ \underline{ \mathfrak{according \: to \: the \: question}}}}$

If the volume are equal then:--

${} \small{ \underline{ \underline{ \mathfrak\red{volume \: of \: cylinder = \pi \: {r}^{2}h }}}}$

Volume of first cylinder whose radius is 2.5 cm...=Volume of 2nd cylinder whose radius is 3cm

$\pi \: {r _{1} }^{2} h1 = \pi \: r_{2}h2$

${2.5}^{2} \times h1 = {3}^{2} \times h2$

$6.25 \times h1 = 9 \times h2$

$\frac{h2}{h1} = \frac{6.25}{9}$