Question

A conical tent has a floor area of 154 sq. m. Its height is 24 m. How much canvas is required for the tent?

Answer 1

Given:

• A conical tent has a floor area of 154 sq. m.
• Its height is 24 m.

To Find:

• How much canvas is required for the tent?

Solution:

❖ Here we are given area of floor of tent 154 m². We know that area of floor of tent is πr² So, firstly we will find the radius of the floor of the tent.

Area of floor = 154 m ²

➞ πr² = 154

➞ 22/7 × (r)² = 154

➞ r² = 154 × 7/22

➞ r² = 7 × 7

➞ r² = 49

➞ r = √49

➞ Radius = 7 m

❖ We get the required radius 7 cm and height is 24 m. So, now we will find the required slant height of the conical tent.

Slant Height = √r² + h²

➞ Slant Height = √(7)² + (24)²

➞ Slant Height = √49 + 576

➞ Slant Height = √625

➞ Slant Height = 25 m.

Hence,

• Slant height of the conical tent is 25 m

➞ CSA of conical tent = πrl

➞ CSA of conical tent = 22/7 × 7 × 25

➞ CSA of conical tent = 22 × 25

➞ CSA of conical tent = 550 m²

Hence,

• 550m canvas is required to make the tent.