Question

5. Find curved surface area of a cone of radius 7cm and height 24cm
A) 400 cm
B) 550 cm
C) 330 cm"
D) 110cm
6. Find the curved surface area of a cone of radius 7cm and height of 24cm.
A) 440 cm
B) 550 cm
C) 330 cm^2
D) 110 cm2​

Answer 1

Step-by-step explanation:

Radius=7cm. Height=24 cm. To find slant height l. l^2=r^+h^2. l^2=7^2+24^2. l^=625. curved surface area of cone is πrl. 22/7×7×25. 22×25=550cm^2. curved surface area of cone is 550cm^2 Ans.

Answer 2

Answer:

The curved surface area of the cone is 550 cm².

Step-by-step-explanation:

We have given the dimensions of a cone.

Radius ( r ) = 7 cm

Height ( h ) = 24 cm

We have to find the curved surface area of the cone i. e. CSAᶜᵒⁿᵉ.

Now, we know that,

l² = h² + r² - - - [ Formula ]

⇒ l² = ( 24 )² + ( 7 )²

⇒ l² = 576 + 49

⇒ l = √( 576 + 49 ) - - [ Taking square roots ]

⇒ l = √625

⇒ l = 25 cm

Now, we know that,

CSAᶜᵒⁿᵉ = π r l - - [ Formula ]

⇒ CSAᶜᵒⁿᵉ = ( 22 / 7 ) * 7 * 25

⇒ CSAᶜᵒⁿᵉ = 22 * 7 ÷ 7 * 25

⇒ CSAᶜᵒⁿᵉ = 22 * 1 * 25

⇒ CSAᶜᵒⁿᵉ = 22 * 25

⇒ CSAᶜᵒⁿᵉ = 550 cm²

∴ The curved surface area of the cone is 550 cm².

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Additional Information:

1. Cone:

Any three dimensional figure having two surfaces with base circular in shape is called as cone.

2. Examples of conical objects:

Conical tent, ice-cream cone, sharpened end of pencil, etc. are some examples of conical objects.

3. Important formulae related to cone:

1. Area of base = π r²

2. l² = r² + h²

3. Curved surface area = π r l

4. Total surface area = π r ( l + r )

5. Volume = ( π r² h ) / 3