Question Bank • QB_APE_EXP_080 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Agriculture Produce

Subtopic: Physical properties

Question Statement:

An ellipsoidal agricultural fruit has principal semi-axes $a = 4\text{ cm}$, $b = 3\text{ cm}$, and $c = 2\text{ cm}$. Calculate the volume of the fruit in $\text{cm}^3$. (Take $\pi = 3.1416$)

Answer Key:

100.53

Step-by-Step Solution & Explanation

Volume of a triaxial ellipsoid: $V = \frac{4}{3} \pi a b c = \frac{4}{3} \times 3.14159 \times 4 \times 3 \times 2 = 32 \pi \approx 100.53\text{ cm}^3$
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