What is the height of a cone given it has a volume of 225 cm and a base diameter of
10 cm?

B. 8.6 cm

Step-by-step explanation:

⅓*πr²h = Volume formula of a cone (V)

Volume of cone (V) = 225 cm³

diameter of cone (d) = 10 cm

radius of cone (r) = ½(10) = 5 cm

height (h) = ?

Plug in the values into the equation and solve for h

⅓ × π × 5² × h = 225

⅓ × π × 25 × h = 225

(25π × h)/3 = 225

Multiply both sides by 3

(25π × h)/3 × 3 = 225 × 3

25π × h = 675

Divide both sides by 25π

h = 675/25π

h ≈ 8.6 cm (nearest tenth)

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

4096 bacteria

step-by-step explanation: