Question

the radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:2 find the ratio of their volume
PLZZ its very urgent​

Answer 1

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{GIVEN:-}$

Ratio of their radii = 2 : 3

Ratio of their heights = 5 : 2

$\underline \mathbb{TO \: FIND:-}$

Ratio of their volumes.

$\underline \mathbb{FORMULA:-}$

$Volume \: of \: a \: cylinder =\pi \: {r}^{2} h$

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

$Volume \: of \: the \: first \: cylinder =\pi \: ( {r _{1}})^{2} h _{1} \: \\ \\ \implies \: \pi \: \times {2}^{2} \times 5 \\ \\ \implies \: 20\pi$

$Volume \: of \: the \: second \: cylinder =\pi \: ( {r _{2}})^{2} h _{2} \: \\ \\ \implies \: \pi \: \times {3}^{2} \times 2 \\ \\ \implies \: 18\pi$

Ratio of their volumes = 20 π : 18 π = 10 : 9

$\underline \mathbb{ANSWER:-}$

$Volume_{1} : Volume_{2} = 10:9$