Question

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

Answer 1

the answer is 10

Explanation:

Answer 2

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