a 5cm wide cloth is used to make a conical tent of base radius 7cm & height 24cm. find cost of cloth used at the rateof Rs25 per metre
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Let the length of the cloth be l metres.
Then according to the problem -
area of the cloth = CSA of the cone of radius 7 cm and height 24 cm.
Slant height ( l ) = ?
l² = h² + r²
l² =576 + 49
l² = 625
l = √625
l = 25
Area of the cloth = π r l
= 22/7 × 7 × 25
= 22 × 25
= 550 m²
l×b = 550 m²
l×5 = 550 m²
l = 550 / 5
l = 110 m
cost of 1 m cloth = Rs. 25
cost of 110 m cloth = Rs. 25× 110
= Rs. 2750
Then according to the problem -
area of the cloth = CSA of the cone of radius 7 cm and height 24 cm.
Slant height ( l ) = ?
l² = h² + r²
l² =576 + 49
l² = 625
l = √625
l = 25
Area of the cloth = π r l
= 22/7 × 7 × 25
= 22 × 25
= 550 m²
l×b = 550 m²
l×5 = 550 m²
l = 550 / 5
l = 110 m
cost of 1 m cloth = Rs. 25
cost of 110 m cloth = Rs. 25× 110
= Rs. 2750
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