Question

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Answer 1

Given

Find the lateral surface area of cone with radius 6cm and height 8cm

Solution

• Radius of cone = 6cm
• Height of cone = 8cm

Slant height of cone

→ √h² + r²

→ √(8)² + (6)²

→ √64 + 36

→ √100

→ 10cm

** Now, Applying formula

★ Lateral surface area of cone

→ πrl

→ 22/7 × 6 × 10

→ 132 × 10/7

→ 1320/7

→ 188.57 cm²

Some Formulae

• Volume of cone = 1/3πr²h
• TSA of cone = πrl + πr²
• LSA of cone = πrl

Answer 2

$\large\red{\underline{\underline{\bf{\blue{Question}}}}}$

Find Lateral Surface Area of a cone with radius 6cm and height 8cm

$\large\red{\underline{\underline{\bf{\blue{Given}}}}}$

• Radius(r) of a Cone = 6cm

• Height(h) of a cone = 8 cm

$\large\red{\underline{\underline{\bf{\blue{To Find}}}}}$

• Lateral Surface or Curved Surface Area of Cone

$\large\red{\underline{\underline{\bf{\blue{Solution}}}}}$

We know that,

➠ Curved Surface Area of a Cone = πrl

And,

We also know that,

➠ Slant height (l) = l² = r² + h²

So,

➠ Slant height (l) = l² = 6² + 8²

↣ l² = 36 + 64

↣ l² = 100

↣ l = 10 cm

Now,

➠ Curved Surface Area of a Cone = πrl

↣ πrl = 22/7 × 6 × 10

↣ 1320/7

↣188.57 cm²

Hence,

Lateral Surface Area of a Cone = 188.57cm²

➲ More Formulas :-

Cone ➘

• Volume = 1/3πr²h

• Total Surface Area = πr(r + l)

• Curved Surface Area = πrl

• Slant height (l) = √r² + h²