Question

total surface area of cone 462cm 2.If diamrter of base 14cm find slant height​

Answer 1

Answer:

Step-by-step explanation:

pi*r(r+l)=462

22/7*7(7+l)=462

154+22l=462

22l=308

l=14

Answer 2

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

• total surface area of cone 462cm².
• diamrter of base 14cm find slant height

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

• Fine the slant height ....?

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

• TSA of a cone = 462 cm²
• Diameter of base = 14cm
• Radius of base = 7cm

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

πr(r + h) = 462

22/7 × 7(7 + h) = 462

22(7 + h) = 462

154 + 22h = 462

22h = 462 - 154

22h = 308

h = 308/22

h = 14cm

Hence, the slant height is 14 cm.

$\large\underline\pink{More \: \: Important:-}$

Right circular cone:-

• h = height of cone
• r = Radius of cone
• s = slant height

1. Volume = 1/3πr²h
2. Lateral surface area = πr √r²+h²
3. Total surface area = πr² + πr √r²+h²