Question

find the curved surface area of a cone whose area of base and height of 154 cm square and 24 cm respectively​

Answer 1

Answer:

CSA =484cm²

I hope this solves your doubt

Answer 2

Given :-

• Area of the base of a right circular cone = 154 cm²

Find :-

• Curved surface area = ?

Solution :-

We know the formula :- πr²

➤ πr² = 154 cm²

⇒ (22/7) × r² = 154

⇒ r² = 154 × (7/22)

⇒ r² = 7 × 7

⇒ r² = 7²

⇒ r = 7 cm

Now , we got the radius of the base = 7 cm

Therefore , then

As we all know , = l² = h² + r²

So we consider the slant height be l cm$.$

• l² = h² + r²

Now, putting the values in the above formula

⇒ l² = (24)² + (7)²

⇒ l² = 576 + 49

⇒ l² = 625

⇒ l² = 25²

⇒ l = 25 cm

Now Slant height is 25 cm

So C.S.A of cone = πrl

⇒ (22/7) × 7 × 25

⇒ 22 × 1 × 25

⇒ 22 × 25

⇒ 550 cm ²

Hence ,

Curved surface area is 550 cm²

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