# 11.3.4. Volume of a Pyramid and Right Cone

Calculate the volume of a regular quadrangular pyramid whose base side length is cm and slant height is cm.

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A right-cone-shaped alloy has a height of cm, where its circular base’s radius is cm. Determine the density of the metal it is made of, given that the mass of the alloy is gm.

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A piece of chocolate in the form of a right cone; its volume is , and the perimeter of its base is cm. Find its height.

• Acm
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• Ccm
• Dcm
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and are two cups in the shape of a right cone. Given that both of the base diameter of and the height of equal cm, and both of the base diameter of and the height of equal cm, determine which cup has a larger capacity.

• AThe two cups are of the same capacity.
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The capacity of a conical flask is mL and its height is cm, find its base radius.

• Acm
• Bcm
• Ccm
• Dcm
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The edge length of a wax cube is cm. If it’s melted and converted into a right circular cone of height cm, and of the wax is lost during the melting process, determine the base radius of the cone.

• Acm
• Bcm
• Ccm
• Dcm
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Find the volume of a right square pyramid whose height is cm and base side length is cm.

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Determine, in terms of , the volume of solids generated by revolving the triangle about the -axis once, and the -axis another time where the unit length is centimeter.

• A,
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Determine the volume of a right cone whose lateral area is and slant height is cm.

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Given that the volume of a right circular cone is , determine its volume when its radius is doubled.

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Given that the volume of a right circular cone is , determine its volume when its height is doubled.

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Given that the volume of a cone is , determine its volume when its height and radius are doubled.

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