G varies directly as the square of H, If G is 4 when H is…

G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100

Correct Answer: Option A

Explanation

G (alpha) H²
G = KH²
4 = K(3)²
4 = 9k; K = (frac{4}{9})
100 = (frac{4}{9}H^2)
4H² = 900
H² = (frac{900}{4})
H² = 225
H = (sqrt{225})
H = 15