Question

a conical tent is 10 m in hight and the radius of its base is 24 m. find

1. slant hight of the tent.

2. cost of the canvas required to make the tent, if the cost of 1 m^2 convas is ₹70
plz tell it fast ​

Answer 1

Step-by-step explanation:

A conical tent is 10 m high and the radius of its base is 24 m. Find slant height of the tent and cost of the canvas required to make the tent, if the cost of 1 square meter canvas is Rs. 70. Hence, the slant height of the tent is 26 m.

Answer 2

Answer:

The total surface area of the cone is the sum of the curved surface area and area of the base which is a circle.

Curved surface area of a right circular cone of base radius, 'r' and slant height, 'l' is πrl

Slant height, l = √r² + h² where h is the height of the cone and r is the radius of the base.

i) Radius, r = 24 m

Height, h = 10 m

Slant height, l = √r² + h²

= √(24)² + (10)²

= √576 + 100

= √676

= 26 m

ii) Curved surface area of the cone = πrl

= 22/7 × 24 m × 26 m

= 13728/7 m²

The cost of the canvas required to make the tent, at ₹ 70 per m² = 70 × Curved surface area of the cone

= 13728/7 × 70

= ₹ 137280

Thus, slant height of the tent is 26 m and the cost of the canvas is ₹ 137280.

hope this helps you ☺️