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The circumference of the base of …

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The circumference of the base of a cylindrical vessel is 176cm and it's height is 30cm .how much water (in litres ) can it hold

Posted by Anupriya Mishra 1 year, 8 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 1 year, 8 months ago

Given

Height,h = 30 cm
The circumference of the base of a cylindrical vessel = 176 cm

To find out

How many litres of water can it hold?

Formula used

Circumference of the base = 2πr
Volume of the right circular cylinder = πr²h

Solution

Circumference of the base = 2 × π × r

⇒ 176 = 2 × 22/7 × r

⇒ 176 = 44/7 × r

⇒ r = 176 × 7 / 44

⇒ r = 28 cm

Now,

Volume of the right circular cylinder = π × r² × h

★ Substituting the values in the above formula,we get:

= 22/7 × ( 28 )² × 30

= 22/7 × 28 × 28 × 30

⇒ 22 × 4 × 28 × 30

⇒ 73920 cm³

We know,

1000 cm³ = 1 L

⇒ 73920/1000 L

⇒ 73.92 L

Hence, it can hold 73.92 litres of water.

0Thank You

ANSWER

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