Question

the radius and height of a cylinder are in the ratio of 3:2 and its volume is 19404 cm³ find its radius and height.​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

If the radius and height of a cylinder are in the ratio of 3:2 and its volume is 19404 cm³ , then its radius and height is 21cm and 14 cm.​

Step-by-step explanation:

Given: the radius and height of a cylinder are in the ratio of 3:2

The volume of cylinder = 19404 cm³

Find:  radius and height.​

If the common multiple is x then

Radius = 3x and height = 2x

volume$= \pi r^2h$

$= \pi \times (3x)^2 \times2x=18\pix^3 \\8 \times \frac{22}{7} \times x^3 =19404\\x^3 =343\\x=7 cm$

∴ Radius = 3×7=21cm

height = 2×7=14cm