Question

The circumference of the base of a cylinder is 132 cm and its height 25 cm. find the volume of the cylinder.​

Answer 1

Step-by-step explanation:

volume of the cylinder (V) = 34650 cm³

Explanation:

Let the base radius of a cylinder = r cm

height (h)= 25cm

i) Circumference of the base of a cylinder (C) = 132 cm [given]

=> 2πr = 132

\implies 2\times \frac{22}{7}\times r = 132⟹2×

7

22

×r=132

\implies r = \frac{132\times 7}{2\times22}⟹r=

2×22

132×7

\implies r = 3 \times 7⟹r=3×7

\implies r = 21 \: cm⟹r=21cm

ii ) Volume of the cylinder (V)

= \pi \times r^{2}\times hπ×r

2

×h

= \frac{22}{7}\times 21^{2}\times 25 cm^{3}

7

22

×21

2

×25cm

3

= 34650 cm^{3}34650cm

3

Therefore,

volume of the cylinder (V) = 34650 cm³

••••

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Answer 2

${\underline{ \mathtt{\red{A} \green{n}\mathtt\blue{s} \purple{w} \mathtt \orange{e}\pink{r}}}}\:$

Given,

Circumference = 132 cm

Height h = 25 cm

Let the radius be r cm.

Circumference =2πr

132 = 2 * 22 / 7 * r

132 * 7 / 44 = r

r = 21 cm

Volume of cylinder = πr²h

= 22/7 * 21 * 21 * 25

= 34650 cm³

1 cm³ = 0.001 l

34650 cm³ = 34.65 l Ans.

Ans.) It can hold 34.65 l of water.