if the volume of right Circular Cone height 9cm is 48 pi cm3 find diameter of base .
Class = 9 . 13 chapter please fast answer.
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0
r =4
so diameter = 8
formula for finding volume of cone is 1/3hπr²
so by putting values in it we came to the conclusion
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48
Correct Question :-
- If the volume of right Circular Cone is 48πcm³ and its height is 9cm, find the diameter of the base.
Given :-
- Shape = Cone
- Volume of Cone = 48πcm³
- Height of the Cone = 9cm
To Find :-
- Diameter of the base.
Solution :-
➞ Volume of Cone = ⅓ πr²h
➞ 48π = ⅓ πr² × 9
➞ 48 = ⅓ r² × 9
➞ 48 × 3 = r² × 9
➞ 144 = r² × 9
➞ 144 ÷ 9 = r²
➞ 16 = r²
➞ √16 = r
➞ 4cm = Radius
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➞ Diameter = 2 × Radius
➞ Diameter = 2 × 4
➞ Diameter = 8cm
Therefore, Diameter of the Base is 8cm
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Formulas Related to Cone :
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
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