A right circular cone has a radius of 8 in. and a slant height of 12 in. These dimensions are multiplied by 6. By what factor is the surface area multiplied?

36

Step-by-step explanation:

Ratio of sides

1 : 6

Ratio of areas

1² : 6²

1 : 36

n = 15

Step-by-step explanation:

For 2^-6*2^n=2^9, a = 2, m = -6 and m + n = 9

⇒ -6 + n = 9

⇒ n = 15

⇒ 2³ × 4³ can also be written as 2³ × (2²)³ = 2³ × 2^6 [This is based on the law of exponents (a^m)^n = (a)^m×n]

⇒ 2³ × 2^6 = 2^ (3 + 6) = 2^9 [Using the law of exponents a^m × a^n = a^m+n]