Question

monica has a piece of canvas whose area is 551 m². she uses it to have a conical tent made,with a base radius of 7 m.assuming that all the stitching margins and wastage incurred while cutting,amounts to approximately 1 m². find the volume of the tent that can be made with it.

Answer 1

To determine the volume of the conical tent made from a 551 m² piece of canvas (accounting for 1 m² waste), we would calculate the tent's slant height using the area of the canvas as the lateral surface area of the cone and then use the volume formula for a cone. However, without the tent's height, we cannot compute the volume.

Step-by-step explanation:

Monica has a piece of canvas whose area is 551 m², and she intends to use it to create a conical tent with a base radius of 7 m. After accounting for approximately 1 m² of stitching margins and wastage, we have a usable canvas area of 550 m².

To find the volume of the conical tent that can be made, we need to calculate the slant height of the cone using the canvas area, which represents the lateral surface area of the cone, and then apply the formula for the volume of a cone.

The formula for the lateral surface area, A, of a cone is given by A = πrℓ, where r is the base radius and ℓ is the slant height. After finding ℓ, the volume, V, of the cone can be calculated using the formula V = (1/3)πr²h, where h is the height of the cone.

However, without the height, we cannot complete the calculation. Further information about the tent's dimensions is needed to determine the volume.