Find the volume of a right circular cone that has a height of 3.5 ft and a base with a diameter of 11.9 ft. Round your answer to the nearest tenth of a cubic foot.
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Concept:
Volume can be defined as space occupied by an object
Volume of a cone=1/3πr²h
where. r= radius of the base
h= height of the cone
Given:
h=3.5ft
d=11.9ft
Find:
The volume of cone=?
Solution:
d=11.9ft
r=d/2
= 11.9/2
=5.95ft
Volume of a cone=1/3πr²h
=1/3π(5.95)²x3.5 ft
=129.75ft³
≈130ft³
Therefore, The volume of a cone is approximately 130ft³
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