Question

The radius and the height of a right circular cone are in the ratio of 5 : 12 and its volume
is 2512 cm
Find: (i) the radius and height of the cone;
(ii) the curved surface area of the cone;
(iii) the total surface area of the cone.
[Take n = 3:14] ]
​

Answer 1

Answer:

Let the radius be 5x height be 12x

volume = 2512cm

3

volume of right circular cone =

3

1

πr

2

h

2512=

3

1

×

7

22

×5x×5x×12x

⇒x

3

=8

⇒x=2

So radius = 10 cm height =24 cm

CSA=πrl=πr

π

2

h

2

7

22

×10

100+24

2

=816.4

TSA=CSA+πr

2

=816.4+

7

22

×10×10=1130.559

=1130.56cm

Step-by-step explanation:

Hope it helps