Question

If the diameter of the base of a cone is 6cm and its height 4cm, then the curved surface area of the cone is

Answer 1

Answer:

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Radius of cone (r) = 62 = 3 cm

and height of cone (h) = 4 cm

Slant height (I) = h2+r2−−−−−−√

=(4)2+(3)2−−−−−−−−√=16+9−−−−−√ = 5 cm

Now, curved surface area = πrl

= 227×3×5

=3307=47cm^2

Answer 2

Answer:

47 cm²

Step-by-step explanation:

Given:-

Diameter of base of a cone = 6 cm

Altitude = 4 cm

To find:-

Approximate curved surface area of a cone.

We know:- Curved surface area of cone = Pi×r×l

Hence, Diameter = 6 cm, therefore, Radius = 3 cm

Solution:-

l²=r²+h²

l²=3²+4²

= 9+16

= 25

Therefore, l = 5 cm

Now curved surface area of cone= Pi×r×l

= 22/7 × 3 × 5

= 330/7

= 47 cm²

Hence final answer is 47 cm²

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