The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litre

1.	The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find the diameter of its base.
Answer» Height of a conical vessel = 3.5 cm and Capacity of conical vessel is 3.3 litres or 3300 cm³ Now, We know, Volume of cone = \(\frac{1}{3}\)πr²h 3300 = \(\frac{1}{3}\) x \(\frac{22}{7}\) x r² x 3.5 or r² = 900 or r = 30 So, radius of cone is 30 cm Hence, diameter of its base = 2 Radius = 2 x 30 cm = 60 cm

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

Answer»

Height of a conical vessel = 3.5 cm and Capacity of conical vessel is 3.3 litres or 3300 cm³

Now,

We know,

Volume of cone = \(\frac{1}{3}\)πr²h

3300 = \(\frac{1}{3}\) x \(\frac{22}{7}\) x r² x 3.5

or r² = 900

or r = 30

So, radius of cone is 30 cm

Hence, diameter of its base = 2 Radius = 2 x 30 cm = 60 cm