Question

the curved surface area of a cylindrical pillar is 264 m and its volume is 924 m. find the diameter and the height of the pillar

Answer 1

hello,
we know that CSA of cylinder=264m²
and volume is 924m³
CSA=2πrh
264=44/7rh
rh=264×7/44
rh=42    r=42/h
now,V
924=πr²h
924×7/22=42/h×42/h×h
42×7=42×42/h
h=42×42/42×7
h=6m
now,r=42/h
r=42/6
r=7m
since diameter=2r
D=14m
hope this helps,if u like it please mark it as brainliest

Answer 2

$\huge \underline \mathsf \red {SOLUTION:-}$

Given That:

• Curved surface area of cylinder = 264 m²
• Volume of cylinder = 924 m³

We know that,

• CSA of cylinder = 2πrh

So,

➠ 264 = 2 × 22/7 × r × h

➠ r × h = (264 × 7)/44

➠ r × h = 1848/44

➠ r × h = 42

➠ h = 42/r ……(1)

Now,

• volume of cylinder = πr²h

Substituting the value of h = 42/r in the volume equation, we get

➠ 924 = 22/7 × r² × 42/r

➠ 924r = 924 × 7

➠ r = 7 m

So,

Radius is 7 m and the diameter will be

= 7 × 2

= 14 m.

And the height of the cylinder

= h = 42/r

= 42/7

= 6 m

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$