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Here is the solution :
Formulas Required :
(1) Volume of Cone = 1/3 * πr² *h,
(2) Curved Surface area of Cone = πrl,
πr² = Area of circle !.[Remember this]
Given data :
Area of Base = 28.26 m²,
Height of Cone = 4m,
Now,
Base of Cone is a circle ,
So ,
we can write the following, To find radius !.
πr² = 28.26 m²,
Assuming π = 3.14,
=> r² = 9 m²,
=> r = Either +3 m or -3m,
Radius can't be negative so, Radius is +3 m,
Now,
Finding volume and C.S.A,
(1) Volume = 1/3*Area of base*Height,
=> 1/3 * 28.26 * 4 m³
=> 37.68 m³,
(2) C.S.A i.e Curved Surface area = πrl,
l = slant height = √(r²+h²)
=> l = √(9+16)
=> l = √25 = +5 m or -5 m,
l can't be negative so, l = +5 m,
Now,
C.S.A of Cone = πrl,
Assuming π = 3.14 again,
=> C.S.A = 3.14 * 3 * 5 m²
=> C.S.A = 47.1 m²
Therefore :
(1) Volume of Cone = 37.68 m³,
(2) C.S.A of Cone = 47.1 m²,
Hope you understand, Have a Great day :),
Thanking you, Bunti 360 !.
Formulas Required :
(1) Volume of Cone = 1/3 * πr² *h,
(2) Curved Surface area of Cone = πrl,
πr² = Area of circle !.[Remember this]
Given data :
Area of Base = 28.26 m²,
Height of Cone = 4m,
Now,
Base of Cone is a circle ,
So ,
we can write the following, To find radius !.
πr² = 28.26 m²,
Assuming π = 3.14,
=> r² = 9 m²,
=> r = Either +3 m or -3m,
Radius can't be negative so, Radius is +3 m,
Now,
Finding volume and C.S.A,
(1) Volume = 1/3*Area of base*Height,
=> 1/3 * 28.26 * 4 m³
=> 37.68 m³,
(2) C.S.A i.e Curved Surface area = πrl,
l = slant height = √(r²+h²)
=> l = √(9+16)
=> l = √25 = +5 m or -5 m,
l can't be negative so, l = +5 m,
Now,
C.S.A of Cone = πrl,
Assuming π = 3.14 again,
=> C.S.A = 3.14 * 3 * 5 m²
=> C.S.A = 47.1 m²
Therefore :
(1) Volume of Cone = 37.68 m³,
(2) C.S.A of Cone = 47.1 m²,
Hope you understand, Have a Great day :),
Thanking you, Bunti 360 !.
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