Question

A right circular cone of radius 3 cm, has a curved surface area of 47.1 cm^2, Find the volume of the cone.

Answer 1

hope it help.........

Answer 2

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