Suresh, who runs a bakery, uses a conical shaped equipment to write decorative labels (e.g., Happy
Birthday etc.) using cream. The height of this equipment is 7 cm and the diameter of the base is 5 mm. A full charge of the equipment will write 330 words on an average. How many words can be written using three fifth of a litre of cream?
Height = 7 cm and Radius = 0.25 cm
Volume of cone = $$\frac{1}{3} \pi r^2 h$$
= $$\frac{1}{3} \times \frac{22}{7} \times (0.25)^2 \times 7 = 0.458 cm^3$$
$$\because$$ $$0.458 cm^3$$ can write $$330$$ words
=> $$1 cm^3$$ can write = $$\frac{330}{0.458} = 720.05$$ words
Now, $$1$$ litre = $$1000 cm^3$$
=> $$\frac{3}{5}$$ litre = $$\frac{3}{5} \times 1000 = 600 cm^3$$
$$\therefore$$ $$600 cm^3$$ can write = $$600 \times 720.05$$
$$\approx 4,32,000$$ words