If the price of a pizza is proportional to the square of the radius of

1.	If the price of a pizza is proportional to the square of the radius of the pizza and 3 similar pizzas of radius 6 cm cost Rs.486, then what will be the cost of two pizzas of radius 8 cm each?1. Rs. 5622. Rs. 5763. Rs. 5844. Rs. 560
Answer» Correct Answer - Option 2 : Rs. 576 GIVEN: The price of pizza is proportional to the square of the radius of pizza and 3 pizzas of radius 6 cm each costs Rs.486. CONCEPT: Basic ratio concept. CALCULATION: Price of 1 pizza ∝ r² Price of 1 pizza = x × r² , where x is constant Price of one pizza of radius 6 cm = 486/3 = Rs.162 162 = x × r2 = x × 6² Or, x = 162/6² Price of one pizza of radius 8 cm = x × r2 Price of one pizza of radius 8 cm =(162/62 ) × 8² = Rs.288 So, Price of two pizzas of radius 8 cm each = 288 × 2 = Rs.576 ∴ The Price of two pizzas of radius 8 cm is Rs 576.

If the price of a pizza is proportional to the square of the radius of the pizza and 3 similar pizzas of radius 6 cm cost Rs.486, then what will be the cost of two pizzas of radius 8 cm each?1. Rs. 5622. Rs. 5763. Rs. 5844. Rs. 560

Answer» Correct Answer - Option 2 : Rs. 576

GIVEN:

The price of pizza is proportional to the square of the radius of pizza and 3 pizzas of radius 6 cm each costs Rs.486.

CONCEPT:

Basic ratio concept.

CALCULATION:

Price of 1 pizza ∝ r²

Price of 1 pizza = x × r² , where x is constant

Price of one pizza of radius 6 cm = 486/3 = Rs.162

162 = x × r2 = x × 6²

Or, x = 162/6²

Price of one pizza of radius 8 cm = x × r2

Price of one pizza of radius 8 cm =(162/62 ) × 8² = Rs.288

So,

Price of two pizzas of radius 8 cm each = 288 × 2 = Rs.576

∴ The Price of two pizzas of radius 8 cm is Rs 576.

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