ind the approximate curved surface area of a conical tent of radius 11 mm and height 2
Question
ind the approximate curved surface area of a conical tent of radius 11 mm and height 2
Solution
To find the curved surface area of a conical tent, we use the formula:
CSA = πrℓ
where r is the radius and ℓ is the slant height of the cone.
However, in this case, we are given the radius (r = 11 mm) and the height (h = 2 mm), not the slant height. We can find the slant height using the Pythagorean theorem, since a cone is essentially a right triangle when unrolled.
The Pythagorean theorem is:
ℓ = √(r² + h²)
Substituting the given values:
ℓ = √((11 mm)² + (2 mm)²) = √(121 mm² + 4 mm²) = √125 mm = 11.18 mm
Now we can find the curved surface area:
CSA = π * 11 mm * 11.18 mm = 387.68 mm²
So, the approximate curved surface area of the conical tent is 387.68 mm².
Similar Questions
find the length of cloth, 2m in width, required to make a conical tent having diameter 12m and slant height 12.6m
Monica has a piece of canvas whose area is 551 m². She uses it tohave a conical tent made, with a base radius of 7 m. Assuming that allthe stitching margins and the wastage incurred while cutting, amountsto approximately 1 m²(i)Find the slant height of the conical tent so formed.(ii)Find the height of the conical tent so formed.(iii) find the volume of the conical tent?
Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.
A tent is cylindrical up to a height of 2.1 m and conical above it. If the diameter of the base is 2.6 m and the slant height of the conical part is 3.5 m, find the total canvas used in making the tent.
Calculate the minimum radius (in mm) of solid aluminium tent poles, required to carry weight from a tent structure without buckling.Assume the poles are restrained sufficiently at the top and base, such that the poles effective lengths can be assumed to be equal to their actual lengths, m.Assume the vertical load from the tent structure acting on each tent pole to be = kg and take the factor of safety to be 1.5Take gravity to be 9.8m/s2 and the Young's modulus of aluminium, Eal = 69,000 MPaFor a solid circular cross-sectional area, moment of inertia, I = πr 4/4 where r is the radius of the solid circle.Give your answer in mm to 1 decimal place. Do NOT include the units in your answer.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.