Question

the curved surface area of a cylindrical pillar is 264 meter square and its volume is 924 metre cube then,the ratio of its diameter to its height is​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\bf{\Huge{\underline{\boxed{\rm{\red{ANSWER\::}}}}}}$

Given:

The curved surface area of a cylindrical pillar is 264m² & its volume is 924m³.

To find:

The ratio of its diameter to its height of the pillar.

$\bf{\Large{\underline{Explanation\::}}}}$

We have,

• The curved surface area of the cylindrical pillar= 264m²
• The volume of the cylindrical pillar= 924m³

We know that formula of the curved surface area of cylinder:

⇒ 2πrh [sq.unit]

⇒ 2πrh = 264

⇒ πrh = $\cancel{\frac{264}{2} }$

⇒ πrh = 132

&

We know that formula of the volume of cylinder: πr²h [cubic units]

⇒ πr²h = 924

⇒ πrh × r = 924

Putting the value of πrh in above, we get;

⇒ 132 × r= 924

⇒ r= $\cancel{\frac{924}{132} }$

⇒ r = 7m

• We know that diameter= 2× radius;

⇒ Diameter = (2 × 7)m

⇒ Diameter = 14m

Now,

Using curved surface area for getting height of the pillar;

⇒ 2πrh = 264m²

⇒ $2*\frac{22}{\cancel{7}} *\cancel{7}m*h=264m^{2}$

⇒ 44 × h = 264m²

⇒ $h=\cancel{\frac{264}{44} }$

⇒ h = 6m

• The ratio of their diameter & height:

→ Diameter : Height

→ 14m : 6m

→ 7m : 3m