Question

the ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5:3. The ratio
of their volumes will be
(a) 4:9
(b) 9:4
(c) 20:27
(d) 27 20​

Answer 1

Answer:

D)27/20

Step-by-step explanation:

Ratio of radii of two cylinder = 2:3

Radius of cylinder 1 = r1

Radius of cylinder 2 = r2

r1/r2 = 2/3

Ratio of their heights = 5:3

Height of cylinder 1 = h1

Height of cylinder 2 = h2

h1/h2 = 5/3

Volume of cylinder 1 = v

1 Volume of cylinder 2 = v2

v1 / v2 = πr1²h1 / πr2²2h2

= 22 × 5 / 32 × 3

= 4×5 / 9×3

= 20/27

∴ Ratio of volumes of two cylinder is 20:27

HOPE IT HELPS U BUDDY✌✌

Answer 2

Answer:

Given;

• Ratio of radii of two cylinders = 2:3

• Ratio of heights = 5:3

To Find;

• Their volumes

Solution:

$\sf \: Let \: the \: radii \: of \: two \: cylinders \:( r_{1} \: and \: r_2)\: be \: 2r \: and \: 3r \\ \\ \sf \therefore \: Height \: ( h_1 \: and \: h_2) = 5h \: and \: 3h \\ \\ \bf ACQ \\ \\ \implies \sf \therefore \: \frac{\pi {r_1}^{2} h_1}{\pi {r_2}^{2}h_2 } \\ \\ \implies \sf \frac{\pi \times 2r \times 2r \times 5h}{\pi \times 3r \times 3r \times 3h} \\ \\ \implies \sf \: \frac{20}{27} = 20:27$