Question
Download Solution PDFThe volume of a cone with height equal to radius, and slant height 5 cm is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The radius and height of the cone are same.
Slant height = 5 cm
Formula used:
Volume of cone = (1/3) π r2 h
Slant height = √(h2 + r2)
Where,
r = Radius of the cone
h = Height of the cone
l = slant height
Calculation
let the radius and height of the cone be x.
5 = √(x2 + x2)
x = 5/√2
Volume of cone = (1/3) π r2 h
⇒ (1/3) × π × (5/√2)2 × 5/√2
⇒ (1/3) × π × (25/2) × 5/√2
⇒ 125π /6√2 cm3
The volume of a cone is 125π/6√2 cm3
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