Question

The base of a conical tent has a diameter of 19.6 m and the height of its vertex is 10 m. Find the (approximate) area of the canvas required to put up such a tent.
1. 430.2 m²
2. 433.2 m²
3. 432.2 m²
4. 431.2 m²

Answer 1

Correct Answer - Option 4 : 431.2 m²

GIVEN:

Diameter = 19.6 m

Height = 10 m

CONCEPT:

The area of canvas required to build a conical tent is equal to its lateral surface area.

FORMULA USED:

L.S.A of cone = πrl

l² = h² + r²

CALCULATION:

r = 19.6/2 = 9.8 m

l² = 10² + 9.8² ≈ 196 

l = 14 m

L.S.A = 22/7 × 9.8 × 14 

L.S.A = 431.2 m²

∴ The answer is 431.2 m²