Answer:
37.35 in
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (π/3)r²h
where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.
V = (π/3)(d/2)²h
12V/(πh) = d²
d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))
= 2√(1.6764×10^6/(π·1.53×10^3) in^2)
d ≈ 37.35 in
The base diameter of the cone is about 37.35 inches.
<em>48.25 in^2</em>
Step-by-step explanation:
The formula for the surface area of a pyramid is:

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.


A = 10.75
Now we can plug in 10.75 for B.

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

48.25 in^2
The given equations are

TO solve for p and w, we can use elimination method. And the first step is to eliminate p by adding both equations .
So out of the given options, correct option is the first option .