Question

The radius and slant height of a cone are in the ratio of 2:7 .if its curved surface are is 792cm^2,find its radius (use pie=22/7)

Answer 1

$<b>$Given,

radius:slant height=4:7

Curved Surface Area of cone=792cm2

Let the radius of cone be 4x and slant height be 7x

Now, According to question,

Curved Surface Area= pi*r*l

=>792=22/7*4x*7x

=> 792*7/22=28x2

=> 36*7/28 =x2

=> 4*9*7/7*4= x2

=> 9=x2

=> plus/minus3=x

Since radius cannot be negative,

=>x=3

Therefore The required answer,

Radius= 4*x=4*3=12 cm

Hope it helps!!!

Answer 2

Answer:

➶➶➶➶➶ hєч ➷➷➷➷➷

Step-by-step explanation:

Given that,

Curved surface area = πrl = 792

Let The Radius ( r ) ⇒ 4x

Height ( h ) ⇒ 7x

Now, CSA ⇒ 792

22 / 7 X 4x X 7x ⇒ 792

⇒ 88x² = 792

⇒ x² = 792 / 88 = 9

⇒ x = 3

∴ Radius → 4x = 4 x 3 = 12cm

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