Find the missing measure for a right circular cone given the following ... Find h if r = 5 and V = 100 pi.
Volume of cone = (1/3)πr^2 h
100π = (1/3)π(25)h
300 = 25h
h = 300/25 = 12
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To find the missing measure for a right circular cone, we can use the formula for the volume of a cone, which is given by:
V = (1/3) * π * r^2 * h
In this case, we are given that r = 5 and V = 100π. We can plug these values into the formula and solve for h:
100π = (1/3) * π * (5^2) * h
Simplifying the equation:
100 = (1/3) * 25 * h
100 = 25/3 * h
To isolate h, we can multiply by the reciprocal of 25/3:
100 * 3/25 = h
12 = h
Therefore, the missing measure h is 12.
To find the missing measure for a right circular cone, we need to use the formula for the volume of a cone and solve for the missing variable.
The formula for the volume of a right circular cone is:
V = (1/3) * π * r^2 * h
Given that r = 5 and V = 100π, we can substitute these values into the formula and solve for h:
100π = (1/3) * π * (5^2) * h
To simplify the equation, we can cancel out the π:
100 = (1/3) * 5^2 * h
Now, we can simplify further:
100 = (1/3) * 25 * h
Multiplying both sides by 3:
300 = 25h
Finally, we can solve for h by dividing both sides by 25:
h = 300 / 25
Simplifying this expression, we find:
h = 12
Therefore, the missing measure for the height of the right circular cone is h = 12.