A conical funnel with a volume of 120 square centimeters is measured to be 10 centimeters high. The bottom area of the funnel is calculated

A conical funnel with a volume of 120 square centimeters is measured to be 10 centimeters high. The bottom area of the funnel is calculated


120 divided by 1 / 3 = 360 CC
360 divided by 10 = 36 square centimeters



What is the area formula of cone?
There should be Chinese explanations and formulas


It is known that the oblique length is the radius of the unfolded sector on the surface of the vertebral body
We also know that the side length of the bottom area of the vertebral body = the side length of the sector
Surface area of vertebral body
=1 / 2 * side length of the fan * radius of the fan + its bottom area
=1 / 2 * side length of the bottom area of the vertebral body * radius of that sector + its bottom area



Calculation formula of surface area of conical table
If you only know the diameter of the upper and lower circles and the height of the cone, can you calculate the whole surface area and how to calculate it?


Let R be the radius of the circle and H be the height of the cone
The generatrix of the cone is r, which forms a right triangle with the radius of the lower circle and the height of the cone
therefore
R^2 = r^2 + h^2
The side area of the cone is equal to
S1 = πR^2 x ( 2πr / 2πR ) = πRr
The bottom area of the cone is
S2 = πr^2
The surface area is equal to
S = S1+S2 = πRr + πr ^2