find the volume and curved surface area of a cone which is 24cm high and having radius 7cm find the cost of tin required to make such an open cone if the rate is Rs 800per m2
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GIVEN:
Height of Cone = 24cm
Radius of the cone = 7cm
TO FIND:
Volume, TSA and cost of tin.
SOLUTION:
To find the curved surface of cone, we should find the slant height of cone.
l² = h² + r²
l² = (24)² + (7)²
l² = 576 + 49
l² = 625
l = √625
l = 25cm
Slant height of cone is 25cm
Now, let's find the curved surface area and volume of cone.
Curved surface area:
CSA of cone = πrl
= 22/7 × 7 × 25
= 22 × 25
= 550cm²
CSA of cone is 550cm²
Volume:
Volume of cone = 1/3 πr²h
= 1/3 × 22/7 × 7 × 7 × 24
= 22 × 7 × 8
= 1232cm³
Volume of cone is 1232cm³
Cost of tin if the rate is 880 per meter:
CSA of cone = 550cm² = 0.055m²
= .055 × 800
= ₹44
Therefore, the cost of tin is ₹44.