Question

Pls help it’s for my homework l

Answer 1

• Answer:

Hence, The Surface Area of the Larger Pot is: 2997 cm^2

• Explanation:

MAKE A PLAN:

We need to find the Ratio of the Surface Areas of the TWO POTS, based on the given Height Ratio, And then, Calculate the Surface Area of the Larger Pot:

• SOLVE THE PROBLEM:

1) - The Height Ratio is Given as ( 9:1 ), So, the Linear Ratio is ( 9 )

2) - The Ratio of Surface Areas is the Square of the Linear Ratio:

9^2 = 81

3) - Calculate the Surface Area of the LARGER POT:

h1 / h2 = 1/9

• Now:

S1 / S2 = 1/81

S2 = 37 * 81 = 2997 cm^2

37 cm^2 * 81 = 2997 cm^2

• Draw the conclusion:

Hence, The Surface Area of the Larger Pot is: 2997 cm^2

I hope this helps you!

Answer 2

2997 cm²

Explanation:

If the scale factor of linear dimensions of 2 figures is k, then the scale factor of the surface areas is k².

The linear scale factor of the figures is 9.

k = 9

k² = 9² = 81

The area of the big pot is 81 times the area of the small pot.

37 cm² × 81 = 2997 cm²