Question

the area of curved surface of a cone is 60 π cm sq if the slant hieght of the cone is 8 cm . find the diameter of the base​

Answer 1

Answer:

radius =7.5cm

Step-by-step explanation:

the curved surface area of a cone with radius r and slant height l is CSA=πrl.

the curved surface area of the cone is CSA=60π cm2 and the slant height is l=8 cm, therefore,

CSA=πrl

⇒60π=π×r×8

⇒60=8r

⇒r=860=7.5

Hence, radius the cone is 7.5 cm.

Answer 2

Answer:

We know that the curved surface area of a cone with radius r and slant height l is CSA=πrl.

It is given that the curved surface area of the cone is CSA=60π cm

2

and the slant height is l=8 cm, therefore,

CSA=πrl

⇒60π=π×r×8

⇒60=8r

⇒r=

8

60

=7.5

Hence, radius the cone is 7.5 cm.