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Maths-

General

Easy

Question

The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

113 cubic feet
113.04 cubic feet
113.4 cubic feet
113.14 cubic feet

hint Hint:

Volume of a cone = (1/3)πr2h

The correct answer is: 113.04 cubic feet

We have given the dimensions of a roof of a castle in shape of a cone
Diameter = 6 feet
Radius , r = 3 ft
Height , h = 12 ft
We have to find the volume of the given roof of castle in the shape of cone
We know that
Volume of a cone = (1/3)πr²h
= (1/3)(3.14)(3 x 3)(12)
= (3.14)(3 x 12)
= (3.14)(36)
= 113.04 ft³
The volume of roof of castle = 113.04 ft³
Therefore correct option is b) 113.04 ft³

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