Question

the radius of a conical tent is 7 m and its height is 10 m, calculate the length of canvas used in making the tent, if the width of canvas is 2m (use pi = 22/7)

Answer 1

Step-by-step explanation:

the radius of a conical tent is 7 m and its height is 10 m, calculate the length of canvas used in making the tent,

Answer 2

Answer:

• Length of canvas used is 134.2 m

Step-by-step explanation:

Given

• Radius of cone (r) = 7 m
• Height of cone (h) = 10 m
• Width of canvas = 2m

To find

• Length of canvas used in making the tent

Solution

• Slant height (l) = √r²+h²
• l = √7²+10²
• l = √49+100
• l = √149
• l = 12.2

Hence, the slant height (l) is 12.2 m

• Curved surface area of cone = πrl
• C.S.A = 22/7 × 7 × 12.2
• C.S.A = 22 × 12.2
• C.S.A = 268.4 m²

Hence, the curved surface area of cone is 268.4 m²

• Area of canvas used = 268.4 m²
• Width of canvas = 2 m
• Length = ?
• Length = Area ÷ Width/Breadth
• Length = 268.4 ÷ 2
• Length = 134.2

Hence, the length of canvas used is 134.2 m