Question

The csa of the cylinder is 262cm its volume is 924 cm find the height

Answer 1

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Curved surface area = 264 m square

➡ 2πrh = 264

➡ 2*22/7*r*h = 264

➡ 44/7*rh = 264

➡ rh = 264*7/44

(264/44 = 6)

➡ rh = 6*7

➡ rh = 42



Volume = 924 m cube

➡ πr^2h = 924

➡ 22/7*r*r*h = 924

➡ 22/7*r*42 = 924

➡ 22/7*r = 924/42

➡ 22/7*r = 22

➡ r = 22*7/22

➡ r = 7


As r*h = 42
r = 7
=> 7*h = 42
=> h = 42/7
=> h = 6


Hence height (h) = 6m


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Answer 2

Solution :

Given -

Curved Surface Area ( CSA ) of the cylinder = 262 cm²

Volume of the Cylinder = 924 cm³

To Find the Height of the Cylinder :-

We know that ,

Curved Surface Area of the Cylinder = 2πrh

$= > 224 = 2\times\frac{22}{7}\times r\timesh$

$=  > r \times h =\frac{264 \times 7}{44} [tex] [tex] => r\times h = \frac{1848}{44}$

$=  > r \times h = 42[tex] [tex] = > h =\frac{42}{r} [tex] Now , We also know that , Volume of the Cylinder = 2πr²h Assuming here the value of h = 42/r , we get :- [tex] = > 924 =\frac{22}{7}  \times r^{2}  \time\frac{42}{r}$

$=  > 924r = 924 \times 7 ............(both \: 924 \: get\: cancelled)$

$= > r = 7$

So ,

Radius we obtained here is 7 cm and diameter will be ( 7 × 2 ) cm i.e. 14 cm

At the last , Height =

$=  >\frac{42}{7}  = 6\:cm$

Hence ,

Height of the Given Cylinder = 6 cm