Find the approximate value of the volume of the right circular cone of 20 cm , 32 cm with a circular base shown below. Approximate your solution to the nearest hundredth.
volume= 1/3 base area*height
I have no idea what the dimensions are from your description.
To find the approximate value of the volume of a right circular cone, you can use the formula: V = (1/3)πr^2h, where V represents the volume, π is a constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cone.
In your case, the given dimensions of the cone are a radius of 20 cm and a height of 32 cm.
First, substitute the given values into the formula:
V = (1/3)π(20 cm)^2(32 cm)
Next, calculate the value of π(20 cm)^2(32 cm):
V = (1/3)(3.14159)(20 cm)^2(32 cm)
Simplifying the expression inside the parentheses:
V = (1/3)(3.14159)(400 cm^2)(32 cm)
Now, multiply the values inside the parentheses:
V ≈ 134038.834734
Finally, round the result to the nearest hundredth:
V ≈ 134038.83
Therefore, the approximate value of the volume of the right circular cone is 134038.83 cubic cm.