Discussion

If 200 liters of orange juice is to be poured in cylindrical drum with diameter of 80cm then depth of orange juice in drum is

Answer: B

Convert the volume to cubic centimetres and halve the diameter, then divide by the cross-sectional area.

\[ 200 \text{ litres} = 200{,}000 \text{ cm}^{3}, \qquad r = 40 \text{ cm} \]

\[ \text{cross-section} = \pi r^{2} = 3.142 \times 1600 = 5027.2 \text{ cm}^{2} \]

\[ \text{depth} = \frac{200{,}000}{5027.2} = 39.78 \text{ cm} \]

The litre-to-cubic-centimetre step is the one that decides the order of magnitude; leaving the volume in litres would give a depth of about 0.04 cm.

No comment is present. Be the first to comment.

Loading…