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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:

### 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)πr^{2}h

= (1/3)(3.14)(3 x 3)(12)

= (3.14)(3 x 12)

= (3.14)(36)

= 113.04 ft^{3}

The volume of roof of castle = 113.04 ft^{3}

Therefore correct option is b) 113.04 ft^{3}

^{3}

The volume of roof of castle = 113.04 ft

^{3}

Therefore correct option is b) 113.04 ft

^{3}

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