Answer:
27.28 m
Step-by-step explanation:
You are given the formula of the volume of a cone and you are also given the volume and the diameter of the cone.
Since the volume uses the radius of the cone, first convert the diameter 7 to the radius by div'g by 2. The radius of the cone is 3.5.
Now substitute 3.5 for r and set the equation equal to the volume of 350.
1/3[tex]\pi[/tex](3.5)^2(h) = 350
Evaluate the exponent.
1/3[tex]\pi[/tex](12.25)(h) = 350
Multiply 1/3, pi, and 12.25 together.
12.83h = 350
Divide both sides by 12.83.
h = 27.28
