A conical tent of 56m base diameter requires 3080sqm curved surfacefind it's height?

Answer 1

Well, isn't that just a happy little math problem we have here! To find the height of the conical tent, we first need to calculate the slant height using the curved surface area formula: π * base diameter * slant height = curved surface area. So, in this case, the slant height would be 3080 / (π * 56) = approximately 17.5m. Then, we can use the Pythagorean theorem to find the height by considering the radius, slant height, and height as a right triangle. Happy calculating!

Answer 2

To find the height of the conical tent, we first need to calculate the slant height using the formula for the curved surface area of a cone: π * r * l, where r is the radius of the base (half of the diameter) and l is the slant height. Given that the curved surface area is 3080 sqm and the base diameter is 56m, the radius is 28m. Substituting these values into the formula, we get 3080 = π * 28 * l. Solving for l, we find that the slant height is approximately 110.17m. Using the Pythagorean theorem, we can then find the height of the cone by calculating h = √(l^2 - r^2), which results in a height of approximately 94.34m.

Answer 3

Oh, dude, you're hitting me with some math here. So, the formula for the curved surface area of a cone is πrl, where r is the radius and l is the slant height. Since the base diameter is 56m, the radius is 28m. We can find the slant height by using the Pythagorean theorem with the radius and height. So, the height would be like around 48m.

Answer 4

The area (A) of a cone = πrs where r is the base radius and s is the slant height.

28πs = 3080 : s = 3080/28π = 35.0141 (4dp)

Using Pythagoras, Vertical Height (H) = √(s2 - 282) = √(1225.99 - 784) = √441.99 = 21.02 metres.