Question

The height of a conical vessel is 3.5 cm.If its capacity is 3.3 l of milk .Find the diameter of its base

Answer 1

Hello!!

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Capacity of vessel = Volume of vessel

Volume of vessel = 3.3 litres

( 1 litre = 1000 cm³ )

3.3 × 1000 = 3300 cm³

Volume of cone =

$\frac{1}{3} \times \pi \times r ^{2} \times h$

$\frac{1}{3} \times \pi \times r ^{2} \times 3.5 = 3300$

${r}^{2} =9930 \div 3.5\pi \\ {r}^{2} = 900 \\ {r} = \sqrt{900 } \\ r = 30cm$

Diameter = 2r

Diameter = 2 × 30

Diameter = 60 cm

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Thanks!!