find the length of cloth, 2m in width, required to make a conical tent having diameter 12m and slant height 12.6m
Question
find the length of cloth, 2m in width, required to make a conical tent having diameter 12m and slant height 12.6m
Solution
To find the length of cloth required to make a conical tent, we need to calculate the curved surface area of the cone, which is given by the formula π * r * l, where r is the radius and l is the slant height.
Step 1: Calculate the radius of the cone. The diameter is given as 12m, so the radius r = diameter/2 = 12m/2 = 6m.
Step 2: Substitute the radius and the slant height into the formula for the curved surface area. The slant height l is given as 12.6m. So, the curved surface area = π * r * l = π * 6m * 12.6m = 237.6m².
Step 3: The width of the cloth is given as 2m. To find the length of the cloth, divide the curved surface area by the width of the cloth. So, the length of the cloth = curved surface area / width = 237.6m² / 2m = 118.8m.
So, the length of the cloth required to make the conical tent is 118.8m.
Similar Questions
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?
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.
ind the approximate curved surface area of a conical tent of radius 11 mm and height 2
Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.
A party planner is designing a conical canvas tent for a child's birthday party. The tent has no floor, and it has a radius of 3 ft, a perpendicular height of 4 ft, and a slant height of 5 ft. If canvas sells by the square yard only, for $23.00/yd2, how much will the material cost?(See the formula sheets - Recall that the LATERAL (sides only-not bottom) surface area of a cone= pi r s where s is the slant height)
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.