Question

the volume of a right cylinder is 2160 cm cube and diameter of cylinder is 24 then find its height​

Answer 1

Answer:

• Height of cylinder = 4.77 cm

Step By Step Explanation:

Given:

• Volume of right cylinder = 2160 cm³
• Diameter of cylinder = 24 cm

To Find:

• Height of cylinder.

Now, first we calculate radius of cylinder,

=> Radius = Diameter/2

=> Radius = 24/2

=> Radius = 12 cm.

Now, we know that,

=> Volume of cylinder = πr²h

=> 2160 = 22/7 × 12 × 12 × h

=> 2160 × 7 = 22 × 12 × 12 × h

=> 15120 = 3168 × h

=> h = 15120/3168

=> h = 4.77 cm

Hence, Height of cylinder = 4.77 cm.

Answer 2

Answer:

V = A ∙ h

V = Volume of a circular cylinder

A = Area of a base

h = height

In this case:

A = d²∙ π / 4

so:

V = A ∙ h

V = ( d²∙π / 4 ) ∙ h

V = 2160 cm³

d = 24 cm

2160 = ( 24²∙ π / 4 ) ∙ h

2160 = ( 576 ∙ π / 4 ) ∙ h

2160 = 576 π ∙ h / 4

Multiply both sides by 4

2160 ∙ 4 = 576 π ∙ h

8640 = 576 π ∙ h

Divide both sides by 576 π

8640 / ( 576 π ) = h

576 ∙ 15 / ( 576 π ) = h

15 / π = h

h = 15 / π

h = 15 / 3.141592654

h = 4.774648292 cm

h = 15 / π cm

h ≈ 4.775 cm