Question

Curved surface area of a cone is 308cm^2 and its slant height is 14 cm , find.

(i) Radius of the cone

(ii) Total surface area of the cone

(iii) Volume of the cone

Answer 1

Heya !!!

Slant height (L) = 14 cm



★CSA of cone = 308 cm²

πRL = 308 cm²



22/7 × R × 14 = 308

R = 308×7/22×14


★R = 7 cm


Therefore,


★Volume of cone = 1/3πR²H



=> 1/3 × 22/7 × 7 × 7 × 14



=> (22×7×14)/3 cm³


=> 718.66 cm³

★ TSA of cone = πR(R+L)



=> 22/7 × 7 ( 7 + 14)


=> 22 × 21



=> 462 cm².



★ HOPE IT WILL HELP YOU ★

Answer 2

$\large\underline\pink{Given:-}$

• Curved surface area of a cone is 308cm^2 and its slant height is 14 cm

$\large\underline\pink{To find:-}$

• Find Radius, Total surface area of cone and Volume of cone ....?

$\large\underline\pink{Solutions:-}$

• Curved surface area of cone = 308cm²
• slant height of cone = 14cm

Curved surface area cone = πrl

π rl = 308

22/7 × r × 14 = 308

22r × 2 = 308

44r = 308

r = 308/44

r = 7cm

radius of cone = 7cm.

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

22/7 × 7(7 + 14)

22 × (21)

462cm²

Total surface area of cone is 462cm²

Volume of cone = 1/3 πr²h

1/3 × 22/7 × (7)² × 14

22/3 × 7 × 14

154/3 × 14

2156/3

718.66cm³

Volume of cone is 718.66cm³

hence,

• radius of cone = 7cm.
• Total surface area of cone is 462cm²
• Volume of cone is 718.66cm³