If the volume of a right circular cone of height 9 cm is 48 Pi cm cube find the diameter of its base
Answers
VOLUME:
The space occupied by an object solid body
is called the volume of the particular object solid body volume is always
measured in cubic unit.
Volume of a liquid that can fill the
interior of the hollow is called the capacity of the hollow object.
Right circular cone:
If a right angled triangle is revolved about
one of the two sides forming a right angle keeping the other side fixed in
position then the solid so obtained by segments is called right circular cone.
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Given:
Height (h) = 9 cm
Volume = 48π cm³
Let r be the radius of the base of the cone
Volume of a right Circular cone =1/3 πr²h
Volume of
a right Circular cone = 48π cm³( Given)
1/3 πr²h = 48π
1/3 ×r² × 9 =
48
3r² = 48
r²= 48/3 = 16
r=√16
r = 4cm
[On taking positive square root]
Hence, the diameter of the base= 2×r= 2× 4= 8cm
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