A Cook wants to cover the side of a cone shaped funnel with parchment paper to avoid any leaks or spills the funnel has a diameter of 6 inches and 4 inches how many square inches of parchment papers needed to cover the side of the funnel. Use 3.14 for pi and round your answer to the nearest hundredth
To find the surface area of the side of the funnel, we need to find the slant height first.
The slant height (l) can be found using the formula: l² = r² + h², where r is the radius of the base and h is the height of the cone.
Given that the diameter of the larger base is 6 inches, the radius (r) would be half of that, which is 6/2 = 3 inches.
The smaller base has a diameter of 4 inches, so the radius for that base is 4/2 = 2 inches.
Now we need to find the slant height (l) using the formula mentioned earlier. For the larger base:
l² = 3² + h²
l² = 9 + h²
For the smaller base:
l² = 2² + h²
l² = 4 + h²
As both formulas equal l², we can set them equal to each other:
9 + h² = 4 + h²
The h² term cancels out, leaving:
9 = 4
This is not possible, so there is an error in the given dimensions. Please double-check and provide the correct measurements in order to solve the problem accurately.