Question

The curved surface area and the volume par a pillar are 264m^2 and 396m^2 resp.Find the diameters the height of the pillar

Answer 1

Answer:

Step-by-step explanation:

Hi, my friend,

Formula for curved surface area of a right circular cylinder:

2πrh

Given that:

2πrh = 264

As π approximates 22/7

=> 2(22/7)(rh) = 264

=> (44/7)(rh) = 264

=> rh = (264)(7/44)

By simplifaction, you get

=> rh = 42 -----------(1)

Formula for volume of a right circular cylinder:

⅓πr²h

Given that:

⅓πr²h = 396

As π approximates 22/7

=> ⅓(22/7)r²h = 396

=> (22/21)r²h = 396

=> r²h = (396*21)/22

By simplification, you get

=> r²h = 378 ---------------(2)

Now by dividing equation (2) by equation (1)

We get r = 378/42

Hence r = 9 m -----------------(3)

Hence diameter = 2(r) = 2(9) = 18 m

Substitute equation (3) in (1)

We get h = 14/3 m

Harith

Maths Aryabhatta