A right circular cone of radius 3 cm, has a curved surface area of 47.1 cm2, Find the volume of the cone. (Use π= 22/7)
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Answer:
37.68cm³
Step-by-step explanation:
Given:
radius of the cone = 3cm
CSA of cone = 47.1cm²
To find : Volume of the cone
∴ CSA of cone = πrl
47.1 = 3.14 × 3 × l
l = 5cm
Now to find the height of the cone:
l² = r²+ h²
5² = 3² + h²
h = 4
∴Volume of the cone = 1/2πr²h
1/3 × 3.14 × 3² × 4 = 3.14 × 4
= 37.68 cm³
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