Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inches 8 inches 10 inches

Respuesta :

V:  volume of a cone = (πr²h)/3 = 104.67 in³
π:  pi = 3.14
r:  radius = 1/2 diameter = [unknown]
h:  height = 4 in

V = (πr²h)/3
V = r²(πh)/3

r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25

r = √25
r = 5  (but remember the radius is only 1/2 the diameter)

thus . . . 

d = 10 in

Answer:

the answer is 10

Step-by-step explanation: