The volume of a right circular cone is 9856cm cube. If the diameter of the base is 28cm,find height of cone . 2) slant height of cone 3) CSA of cone
Answers
Answer:
Step-by-step explanation:
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Here is your correct answer......
Volume of right circular cone = 9856cm^3....
Diameter = 28 cm.
Radius = 14
Volume = 1/3 pie r ^2 h.
9856 = 1/3 × 22/7 × 14 × 14 × h.
h = 9856 × 3 × 7 / 22 × 14 × 14
h = 48 cm.(approximately)
Slant height = root 48^2 - 14 ^2
= 46 cm.( approximately)
CSA of cone = pie r l
= 22/7 × 14 × 46
= 44×46 cm^2.
= 2024 cm^2...
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Answer:
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