The height of a conical vessel is 7 cm. If its capacity is 6.6 litres of milk. Find thediameter of its base.

Correct option is A

Given:

Height of conical vessel, h = 7 cm

Capacity (volume) of conical vessel = 6.6 litres = 6600 cm³

(since 1 litre = 1000 cm³)

Formula Used:

Volume of the cone = $$\frac{1}{3} \pi r^2 h$$​​

Solution: 

From the  formula;

​$$6600 = \frac{1}{3} \pi r^2 \times 7$$​​

​$$6600 = \frac{7\pi r^2}{3}$$​​

​$$r^2 = \frac{6600 \times 3}{7\pi}$$​​

​$$r = \sqrt{900} = 30 \text{ cm}$$​​

Diameter = 2r = 60 cm