Question

there are 15 metallic solid identical spherical objects to be loaded on trucks. the diameter of the object is 80 cm. the density of the metal is 7 g/cm3. each truck can carry the maximum load of 6000 kg, what is the greatest number of objects that can be loaded on a truck?

Answer 1

i think 857 is the answer

Answer 2

The answer is 6.

GIVEN

There are 15 metallic solid identical spherical objects to be loaded on trucks. the diameter of the object is 80 cm. the density of the metal is 7 g/cm3. each truck can carry the maximum load of 6000 kg.

TO FIND

The greatest number of objects that can be loaded on a truck?

SOLUTION

The above problem can be simply solved as follows;

Volume of 1 metallic sphere = 4/3 (πr³)

= 4/3 × (3.14 × 40 × 40 × 40)

= 5,632,000/7

= 268190.4761 cm³

Density of metal = 7g/cm³

Mass = 268190.4761 × 7 = 1833233.3327 grams

Mass in kg = 1833.2333327 kg

Mass of 15 spheres = 27,498.495 kg

Maximum load taken by 1 truk = 6000 kg

27,498.495 Kg taken by = 27,498.495 /6000

= 4.58 ≈ 6

Hence, The answer is 6.

#SPJ3