How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?

Solution:

Given, height of conical tent, h = 3.5 m

The radius of the base, r = 12 m

We have to find the canvas area of the conical tent

Canvas area = curved surface area

We know, l² = r² + h²

l² = (12)² + (3.5)²

l² = 144 + 12.25

l² = 156.25

Taking square root,

l = 12.5 m

Curved surface area of cone = πrl

Where, r is the radius of the cone

l is the slant height

= (22/7)(12)(12.5)

= 3300/7

= 471.43 m²

Therefore, the canvas area is 471.43 m²

✦ Try This: How many square metres of canvas is required for a conical tent whose height is 4 m and the radius of the base is 14 m?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.3 Problem 4

How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?

Summary:

471.43 m² of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m

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