Question

The curved surface area and volume of a cylindrical pillar are 294 sq.m and 396m cube respectively. Find the diameter and height of the pillar.

Answer 1

diameter is 5.38 and height is 17.40 ....

Answer 2

Answer:

The diameter is 5.38 m and height is 17.384

Step-by-step explanation:

Curved surface area of cylinder = 2πrh

Since we are given that The curved surface area of a cylindrical pillar is 294 sq.m

So,2πrh=294  --1

Volume of cylinder = $\pi r^{2} h$

Since we are given that  volume of a cylindrical pillar is 396 m cube .

So,  $\pi r^{2} h=396$                

$\pi r* r * h=396$   --2              

Substitute the value of r*h from 1 in 2

$\pi r*\frac{294}{2 \pi}=396$

$r*147=396$

$r=2.693$

Diameter = 2*2.693 = 5.38 m

Substitute the value in 1

2*3.14*2.693*h=294  

16.91204*h=294  

h=17.384

Hence the diameter is 5.38 m and height is 17.384