Question

the volume of a right circular cone is 9856 cm cube if the diameter of the base is 28 cm find
1) height
2) Slant height
3) CSA OF CONE​

Answer 1

Solution :-

Given :
Volume of a right circular cone = 9856 cm³
The diameter of the base = 28 cm
Radius = r = 28/2 = 14 cm

We know that,
Volume of a right circular cone = ⅓πr²h
=> 9856 = ⅓ × 22/7 × 14 × 14 × h
=> h = (9856 × 3 × 7)/(22 × 14 × 14) = 48

Slant height (l)
$= \sqrt{ {r}^{2} + {h}^{2} } \\ \\ = \sqrt{ {14}^{2} + {48}^{2} } \\ \\ = \sqrt{196 + 2304} \\ \\ = \sqrt{2500} = 50$

Curved surface area of cone = πrl sq. units
= 22/7 × 14 × 50 cm²
= 2200 cm²

Hence,
1) Height = 48 cm
2) Slant height = 50 cm
3) CSA of Cone = 2200 cm²

Answer 2

Answer:

height 48cm

slant height 50cm

CSA of cone 2200cm²

Step-by-step explanation:

9856=1/3×22/7×14×14×h

9856×3/14×22×2=h

h=48cm

14²+48²

196+2304

2500

50cm

22/7×14×50

2200cm²