Question

The radius and height of a cylinder are in ratio 3:7 and it's volume is 1584cm cube. Find its radius

Answer 1

Answer:

radius = 6 cm

Step-by-step explanation:

radius = 3r

height = 7r

vol = pi r^2 h =1584

22 × 9r^2 × 7r = 1584

7

63×r^3 =504

r^3 =8

r = 2

Answer 2

The radius is 6 cm.

Step-by-step explanation:

Given : The radius and height of a cylinder are in ratio 3:7 and it's volume is 1584 cm cube.

To Find : Its radius ?

Solution :

Let teh ratio be 'x'.

So, the radius is 3x and height is 7x.

The volume of the cylinder is $V=\pi r^2 h$

$1584=\frac{22}{7}\times (3x)^2\times 7x$

$x^3=\frac{1584\times 7}{22\times 9\times 7}$

$x^3=8$

$x=\sqrt[3]{8}$

$x=2$

The radius is $3x=3(2)=6$.

The height is $7x=7(2)=14$.

Therefore, the radius is 6 cm.

#Learn more

The radius and height of a cylinder are in the ratio

7:2. If the volume of the cylinder is 8316 cm", find

the radius and height of the cylinder.​

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