Math, asked by nsnnenenrnrnrsnddbdb, 4 months ago

The radius and slant height of Cone is 2 cm and 6cm respectively its curved surface

area is ……….........cm².

a) 12 π b) 4 π c) 8 π d) 6 π​

Answers

Answered by Anonymous
40

Answer :

›»› The curved surface area of cone is 12π cm².

Step-by-step explanation :

Given :

  • Radius of a cone = 2 cm.
  • Slant height of a cone = 6 cm.

To Find :

  • Curved surface area of cone = ?

Formula required :

Formula to calculate the curved surface area of cone is given by,

CSA of cone = πrl.

Here,

  • CSA is the Curved surface area of cone.
  • r is the Radius of cone.
  • l is the Slant height of cone.

Solution :

As we are given with the radius of cone and slant height of cone we know the required formula, that is,

CSA of cone = πrl.

Using the formula to calculate the curved surface area of cone and substituting all the given values in the formula we get :

→ CSA of cone = π * 2 * 6

→ CSA of cone = π * 12

CSA of cone = 12π

Hence, the curved surface area of cone is 12π cm².

So, option (a) 12π is correct ✔.

Extra Brainly Knowledge :

Some related formulae :

  • Volume of cone = ½πr²h.
  • CSA of cone = πrl.
  • TSA of cone = πrl + πr².
  • Volume of cylinder = πr²h.
  • TSA of cylinder = 2πrh + 2πr².
  • Volume of cube = a³.
  • CSA of cube = 4a².
  • TSA of cube = 6a².

Where,

  • CSA is the Curved surface area.
  • TSA is the Total surface area.
  • The value of π is 22/7 and 3.14.
  • r is the Radius.
  • h is the Height.
  • l is the Slant height.
  • a is the Side.
Answered by Anonymous
23

Answer:

 \huge \bf Given

Radius of cone = 2 cm

Slanght height of cone = 6 cm

 \huge \bf To \: Find

CSA of cone

 \huge \bf Solution

As we know that

CSA of cone = πrl

Here,

R = Radius.

L = Slanght height.

Now,

Let's find CSA

CSA = π × 2 × 6

Note :- π can't be cancelled. Therefore

CSA = 12π cm

Hence :-

Correct Option (A)

Step-by-step explanation:

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