Question

The volume of a cylinder is 5346cm cube and the ratio of its radius to its height is 3:7. Find the volume of the cylinder

Answer 1

Answer:

r  = 9cm  ,  h = 21cm

Step-by-step explanation:

r : h  = 3 : 7

r = 3x  ,     h =7x

volume of cylinder  = 5346

  π r² h            =  5346

22/7  x  (3x)²  x  7x  =  5346

                          x³  =  5346/( 22x9)

                                =   27

              ∴ x = 3

radius  = 3 (3)              height  =  7 (3)

           = 9cm                         =  21cm

Answer 2

The radius of a cylinder(r) = 9 cm and  The height of a cylinder(h) = 21 cm

Step-by-step explanation:

The volume of a cylinder = 5346 $cm^{3}$

Let 3x and 7x be the radius and height of a cylinder.

To find, the radius(r) and height(h) of the cylinder = ?

We know that,

The volume of a cylinder = $\pi r^2 h$

⇒ $\dfrac{22}{7}\times (3x)^2 \times 7x=5346$

⇒ $22\times 9x^2 \times x=5346$

⇒ $198x^3=5346$

⇒ $x^3=$$\dfrac{5346}{198} =27$

⇒ $x^3=3^3$

⇒ x = 3 cm

∴ The radius of a cylinder(r) = 3 × 3 cm = 9 cm and

The height of a cylinder(h) = 7 × 3 cm = 21 cm