Answer:
The volume of a cone varies jointly as its height, and the square of its radius. If a cone with a height of 8 centimeters and a radius of 2 centimeters has a volume of 33.5 cm³, what is the volume of a cone with a height of 6 centimeters and a radius of 4 centimeters?
Solution:
k = constant of variation
V = khr²
h = 8 cm
r = 2cm
33.5 cm³
V = khr²
33.5 = k(8)(2)²
33.5 = k(8)(4)
33.5 = k(32)
k = 33.5/32
V = khr²
V = (33.5/32)(6)(4)²
V = (33.5/32)(6)(16)
V = 100.5 cm³
Answer:
V = 100.5 cm²
