A tent is such that its lower part is like a cylinder of 24 m height,

1.	A tent is such that its lower part is like a cylinder of 24 m height, which is 126 m in diameter. Its apex is like a cone with a base of the same diameter of 126 m and is 80 m slant high. Its canvas is 8 m wide. Calculate the length of the canvas required to make the tent.1. 3168 m2. 3020 m3. 3296 m4. 3190 m
Answer» Correct Answer - Option 1 : 3168 m Given: Height of cylinder, h = 24 m Diameter of cylinder, d = 126 m. Slant height of cone, l = 80 m. Diameter of the cone, d = 126 m. Breadth of canvas = 8 m. Formula used: Curved surface area of cylinder = 2πrh. Curved surface area of cone = πrl Calculation: Diameter of cylinder, d = 126 m. Radius of cylinder, r = 63 m. Total area of tent = Curved surface area of cylinder + Curved surface area of cone ⇒ 2πrh + πrl ⇒ [2 × (22/7) × 63 × 24] + (22/7) × 63 × 80 ⇒ 9504 + 15840 ⇒ 25344 m Length of canvas = (Total area of tent)/(Breadth of canvas) ⇒ 25344/8 ⇒ 3168 m ∴The length of the canvas required to make the tent is 3168 m.

A tent is such that its lower part is like a cylinder of 24 m height, which is 126 m in diameter. Its apex is like a cone with a base of the same diameter of 126 m and is 80 m slant high. Its canvas is 8 m wide. Calculate the length of the canvas required to make the tent.1. 3168 m2. 3020 m3. 3296 m4. 3190 m

Answer» Correct Answer - Option 1 : 3168 m

Given:

Height of cylinder, h = 24 m

Diameter of cylinder, d = 126 m.

Slant height of cone, l = 80 m.

Diameter of the cone, d = 126 m.

Breadth of canvas = 8 m.

Formula used:

Curved surface area of cylinder = 2πrh.

Curved surface area of cone = πrl

Calculation:

Diameter of cylinder, d = 126 m.

Radius of cylinder, r = 63 m.

Total area of tent = Curved surface area of cylinder + Curved surface area of cone

⇒ 2πrh + πrl

⇒ [2 × (22/7) × 63 × 24] + (22/7) × 63 × 80

⇒ 9504 + 15840

⇒ 25344 m

Length of canvas = (Total area of tent)/(Breadth of canvas)

⇒ 25344/8

⇒ 3168 m

∴The length of the canvas required to make the tent is 3168 m.