Explanation

(a) Total surface area of a sphere = \(4\pi r^{2}\)

Let the TSA of the smaller sphere be \(S_{1}\) with radius r and the bigger sphere be \(S_{2}\) with radius R.

\(\frac{S_{1}}{S_{2}} = \frac{9}{49}\)

\(\frac{9}{49} = \frac{4\pi r^{2}}{4\pi R^{2}}\)

\(\implies \frac{9}{49} = \frac{12^{2}}{R^{2}}\)

\(\frac{49 \times 144}{9} = R^{2}\)

\(R = \sqrt{49 \times 16} = 28 cm\)

Volume of bigger sphere = \(\frac{4}{3} \pi r^{3}\)

= \(\frac{4}{3} \times \frac{22}{7} \times 28 \times 28 \times 28\)

= \(\frac{275,968}{3}\)

= \(91989.33 cm^{3}\)

\(\approxeq 91989 cm^{3}\) (nearest whole number).

(b)

\(|ZX|^{2} = |YZ|^{2} + |YX|^{2} - 2|YZ||YX| \cos Y\)

= \(5^{2} + 3^{2} - 2(5)(3) \cos 135\)

= \(25 + 9 - 30(-0.7071)\)

= \(34 + 21.213\)

\(|ZX|^{2} = 55.213\)

\(|ZX| = 7.43 km \approxeq 7 km\)

(ii) Using sine rule,

\(\frac{\sin \theta}{5} = \frac{\sin 135}{7.43}\)

\(\sin \theta = \frac{5 \times \sin 135}{7.43}\)

= \(\frac{3.5355}{7.43}\)

\(\sin \theta = 0.4758\)

\(\theta = \sin^{-1} (0.4758)\)

= \(28.41° \approxeq 28°\) (to the nearest degree).

Bearing of Z from X = 270° + 28.41° = 298.41°

\(\approxeq\) 298°.

Correct Answer: A. 0°

Explanation

(a) Management practices carried out in poultry production

- Candling

- Sexing

- Egg handling

- Incubation

- Hatching

- Brooding

- Turning of litter/litter management

- Age group rearing

- Feeding - Watering

- Sanitation

- Housing

- Debeaking

- Vaccination

- Caponisation

- Control of parasites

(b) Advantages of dehorning in cattle production

- Less space is required for feeding

- The animals eat more conveniently and grow faster

- Dehorned animals are more attractive and therefore yield more money

- They are easy to transport in vehicles from one area to another

- They are more safe to handle/docile

- It prevents injury of animals/handlers

(c) Marketing services in Agricultural production

- Standardisation/grading

- Packaging

- Transportation

- Storage

- Risk bearing/insurance

- Financing

- Assemblage

- Processing

- Distributed

- Advertising

(d) Problems of agricultural marketing in West Africa

- Scattered sources of supply/small holdings

- Inadequate transportation

- Inadequate processing facilities

- Inadequate storage facilities

- Non-uniform weights and quantity

-measuring devices

- Inadequate financing

- Poor marketing skills/systems

- Adulteration of produce

- Instability of prices

- Inadequate market research

- Inadequate information about production and marketing

- Activities of middlemen

- Perishability of farm produce

Correct Answer: B. forget his hardship

Correct Answer: C. 10km

Correct Answer: (d) 3527

Correct Answer: B. Education

Correct Answer: A. N20,000

Correct Answer: D. Library

Correct Answer: D. a reverie