Question

The volume of a right circular cone is 9856cm cube .if the
diameter of the base is 28cm, find height of the cone, slant heigh of the cone ,curved surface area of the cone

Answer 1

given

diamete = 28cm
so, radius = 14cm
right circular cone = 9856cm cube
h
volume of right circular cone = 1/3 pi r square h

9856 = 1/3 pi r squre h
putting the value pi , r and h ,
9856 = 1/3 × 22/7 ×14 ×14 h
9856 = 22/21 × 196 h
9856 × 21 / 22 × 196 = h
48 = h

slant hight
l squre = h squre + r squre
putting the value of h and r
l squre = 48 × 48 + 14 × 14
l squre = 1404 + 196
l squre = 2500
l squre = 50 squre
cutting the squre on both side
so, l = 50

curved surface area of right circule cone

curved surface area of right circule cone =
pi,r and l
putting value of pi,r and l
= 22/7 × 14 × 50
= 2200

Answer 2

Step-by-step explanation:

Given :-

The volume of the right circular cone

= 9856cm^3

Diameter =28 cm

Radius = Diameter/2

Radius of the cone = 14cm

Solution 1 :-

Volume of the cone = 1/3πr^2h

Put the required values in the formula ,

9856 = 1/3 * 22/7 * 14 * 14 * h

h = 9856 * 3 * 7 / 22 * 14 * 14

h = 206976 / 4312

h = 48

Hence , The height of the cone is 48cm

Solution 2 :-

Radius of the cone = 14 cm

Height of the cone = 48cm

Now ,

( l )^2 = (radius)^2 + ( height )^2

Slant height ( l )^2 = √( 14)^2 + ( 48)^2

( l )^2 = 196 + 2304

( l )^2 = 2500

l = 50 cm

Thus , The slant height of a cone is 50 cm

Solution 3 :-

Total surface area of cone

Put the required values in the formula ,

TSA of cone = 22/7 * 14 ( 50 + 14)

TSA of cone = 22 * 2 * 64

TSA of cone = 2816 cm²