A conical tent is 10m high and the radius od its base is 24m. find
(i). cost of canvas required to is Rs 70
Answers
Answer:
Slant height of the tent is 26 m and the cost of the canvas is ₹ 137280
Step-by-step explanation:
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.
Radius, r = 24 m
Height, h = 10 m
Slant height, l = √r² + h²
= √(24)² + (10)²
= √576 + 100
= √676
= 26 m
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
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