The volume of a cone is 48 cubic inches. The radius is 1.3 meters. Determine the height of the cone. Use 3.14 for
π. Round your answer to the nearest tenth. Show all your work.
please help me im stuck and im not even sure where to start
The volume of pointy things with straight sides is in general
(1/3)* area of base * height
so here
V = (1/3) (pi r^2) h
or
48 = (1/3) (3.14* 1.69) h
h = 3*48 / (3.14 * 1.69)
I still dont understand that
By the way the units of this question do not make much sense. I assume it is all inches or all meters
To find the height of the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
In this case, the volume is given as 48 cubic inches, and the radius is given as 1.3 meters. However, the measurement units should be consistent throughout the calculation, so we need to convert the radius from meters to inches.
Since 1 meter is equal to 39.37 inches, we can multiply the radius by 39.37 to convert it to inches:
r = 1.3 meters * 39.37 inches/meter = 51.181 inches
Now, substituting the known values into the formula, we have:
48 = (1/3) * 3.14 * (51.181)^2 * h
To solve for h, we can rearrange the equation:
48 = (1/3) * 3.14 * (51.181)^2 * h
48 = 3.14 * 8684.973 * h
48 = 27254.89062 * h
h = 48 / 27254.89062
h ≈ 0.001761 inches
Therefore, the height of the cone is approximately 0.001761 inches.