Math, asked by soha200611, 7 months ago

find the total surface area of a cone if it's slant height is 21 metre and diameter of its base is 24 metre​

Answers

Answered by sehejarora75
5

Answer:

Answer: The total surface area the cone is 1244.57 m²

Step-by-step explanation:

Given : slant height of cone ;l = 21m

Diameter of cone = 24m

therefore radius ; r= 12 m

as we know the total surface area of a cone is

Hence, the total surface area the cone is 1244.57 m²

Attachments:
Answered by MoodyCloud
34

Given:-

  • Slant height of cone = 21 m.
  • Base diameter of cone = 24 m.

To find:-

  • Total surface area of cone.

Solution:-

We know that,

 \large \boxed{ \sf Total\: surface\:area \:of\:cone= \pi {r}^{2}  + \pi rl}

In which,

  • r is Radius of cone.
  • l is slant height of cone.

l = Slant height of cone = 21 m.

r = 24/2 = 12 cm.

Put all values in formula,

 \implies \sf  \dfrac{22}{7}  \times 12 \times 12 +  \dfrac{22}{ \cancel{7}}  \times 12 \times  \cancel{21}

 \implies \sf  \dfrac{3168}{7}  + 792

 \implies \sf 452.571 + 792

 \implies \sf 1244.571

Therefore,

Total surface area of cone is 1244.571 cm².

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