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Preeti Dabral 2 years, 7 months ago
- Height,h = 30 cm
- The circumference of the base of a cylindrical vessel = 176 cm
How many litres of water can it hold?
Formula used- Circumference of the base = 2πr
- Volume of the right circular cylinder = πr²h
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.
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