Question

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Answer 1

250 g

Explanation:

The given task is to calculate the weight of a lion's brain in grams using the provided formula that describes the relationship between the total mass of a lion and the mass of its brain. The problem will be solved by substituting the known mass of the lion into the formula and then converting the resulting mass of the brain from kilograms to grams.

Given:

The formula,

`B=0.01 * L^{(2)/(3) }`

Where,

• 'B' is the brain mass in kilograms
• 'L' is the total mass of the lion in kilograms (The mass of the lion is 125 kg)

`\hrulefill`

Substitute L = 125 kg into the formula to find 'B'.

`\Longrightarrow B=0.01 * L^{(2)/(3) }\\\\\\\\\Longrightarrow B=0.01 * (125 \text{ kg})^{(2)/(3) }`

To compute (125)^⅔, we first find the cube root of 125, which is 5, and then square it:

`\Longrightarrow (125)^(1)/(3)=5 \\\\\\\\\Longrightarrow (5^2)=25`

Now we can substitute back:

`\Longrightarrow B=0.01 * 25 \text{ kg}\\\\\\\\\Longrightarrow B=0.25 \text{ kg}`

To convert this to grams:

`\Longrightarrow B=0.25 \text{ kg } * 1000 \ \frac{\text{g}}{\text{kg}}\\\\\\\\\therefore \boxed{B = 250 \text{ g}}`

The brain of the lion weighs approximately 250 grams.