Question

The radius and height of a right circular cone are in the ratio 4:3 and it's volume is 2156 cm³. Find the curved surface area of the cone.​

Answer 1

$\huge\bold{Bonjour!!}$

$\huge\mathfrak\purple{Solution:-}$

⏩ Let the radius of the cone = 4x

and the height of the cone= 3x

Volume of the cone= 2156 cm³

=> 1/3π²h= 2156 cm³

=> 1/3 × 22/7 × 4x × 4x × 3x = 2156 cm³

=> 22/7 × 16x³ = 2156 cm³

=> x³ = 7×7×7/2×2×2

=> x³= [7/2]³

Therefore, x= 7/2 = 3.5 cm

Hence,

** Radius of the cone , r= 4x = 4 × 3.5 = 14 cm.

** Height of the cone, h= 3x = 3 × 3.5 = 10.5 cm.

→ Slant height of the cone,

l = √h²+r²

=> l= √10.5²+14²

=> l= 17.5 cm.

Now,

C.S.A of the cone= πrl

= 22/7 × 14 × 17.5 cm²

= 44 × 17.5cm²

Therefore,

C.S.A of the cone= 770 cm².

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Hope it helps...:-)

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Answer 2

Answer:

Curved surface area of the cone is 770cm^2.

Step-by-step explanation:

refer to attachment

hope this helps you☺️☺️☺️