Question

the curved surface area of the cylinder is 264 m2 and it's volume is 924m2. find the height of the pillar

Answer 1

Hey



Given that :-


CSA = 264 m²


2 * pie * r * h = 264 ––– ( i )



And ,



Volume = 924 m³


pie * ( r ) ² * h = 924 –––– ( ii )


Now ,


eq ( ii ) is divided by eq ( i ) , we get



pie * r * r * h / 2 * pie * r * h = 924 / 264


=> r / 2 = 924 / 264


=> r = 924 / 132


=> r = 9 [ 924 / 132 = 7 ]


So ,


radius = 7 m


Now ,


2 * pie * r * h = 264


=> 22 / 7 * 7 * h = 132


=> 22 * h = 132


=> h = 6 m


Height of piller = 6 m



thanks :)

Answer 2

Answer:

☺️☺️

Let r be the radius and h be the height of the cylinder

$\color{red}{2πrh=264m^....(1)}$

Also given volume of the cylinder=964

$\color{violet}{πr^h=924m3}$

$\color{rose}{Divide the equation (2) by equation (1)}$

Thus we have

$\color{blue}{πr^h/2πrh = 924/264 = 7/2}$

$\color{orange}{r/2 = 7/2}$

2r=14

r=14/2

=7

2πrh=264

2×22/7×7×h

=264/2×22

=h=6