# The curved surface area of a cylindrical pillar is 264m^2 and its volume is 924^3. Find the diameter and height of the pillar.

Let us find the parameters of the cylindrical cylinder.

## Answer: The diameter of the pillar is 14m and the height of the pillar is 6m.

Let us use the formula of CSA and volume of a cylinder and find the required diameter and height of the pillar.

**Explanation:**

Let the radius of the pillar be r and the height of the pillar be h.

Given that the CSA of the cylinder is 264 m^{2}

⇒ 2 π r h = 264

⇒ π r h = 132 ------------> (i)

The volume of the cylindrical pillar is 924m^{3}

⇒ π r^{2 }h = 924 -------------> (ii)

From equation(i) and (ii):

[π r h] × r = 924

⇒ [132] × r = 924

⇒ r = 924/132

⇒ r = 7m

Substitute the value of r in (i)

⇒ π × 7 × h = 132

⇒ (22/7) × 7 × h = 132

⇒ h = 132 × (7/22) × 1/7

⇒ h = 132/ 22 = 6

⇒ h = 6m

Now, diameter = 2r = 2 × 7 = 14m