the volume of right circular cone is 9856 cm3 cube if the diameter of the base is 28 cm find ☆the height of the cone and ☆slant height of the cone ☆curved surface area of the cone
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anamay1857:
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☁Answer:-
Given
volume = 9856m²
Diameter = 28cm
Radius = 28/2 = 14cm.
i.) volume of cone = 1/3πr²h
1/3πr²h = 9856
1/3 × 22/7 ×14 ×14 × h = 9856
h = 9856 ×3 ×7/22 × 14 × 14
h = 448 × 3 / 14×2
h = 16×3
h= 48cm.
ii.) slant height of cone
l = √[h² + r²]
l = √[(48)² + 14²]
l = √2304 + 196
l = √2500
l = 50 cm.
Therefore , slant height= 50cm
iii.) curved surface area = πrl
22/7 ×14×50
22 × 2 × 50
=> 2200cm²
#Hopeithelps
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