Question

4. The curved surface area of a cone is 308 cm and its slant height is 14cm. Find the radius of the base and total surface area of the cone.​

Answer 1

Answer:

Step-by-stSolution:-

Given : Curved surface area of the cone = 308 sq cm and Slant height or l = 14 cm.

Curved surface area of the cone = πrl

308 = 22/7*r*14

r= (308*7)/(22*14)

r = 7 cm

Total surface area of the cone = πr(r+l)

= (22/7*7)(7+14)

= 22*21

Total surface area of the cone = 462 sq cm

So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462 sq cm.

Answer 2

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CSA Of cone =308 cm²

Slant height ( l ) =14cm

Radius ( r ) = ?

TSA = ?

CSA of cone = πrl

308 =22/7 ×r × 14

r =7 cm

Now,

TSA of cone = πrl + πr²

= 308 +22/7 ×7×7

= 308 +154

=462cm²

Therefore, radius is 7cm

And TSA is 462 cm²

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