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In this lesson, we will learn how to calculate the volume of a cone given its height and the area of its base.

Q1:

Determine the volume of the right circular cone in terms of π .

Q2:

Determine the volume of the given right circular cone in terms of π .

Q3:

Determine the volume of the given solid to the nearest hundredth.

Q4:

Work out the volume of a cone with a radius of 3 and a height of 14. Give your solution to two decimal places.

Q5:

The volume of a cone is 4 4 1 π cubic inches, and its height is 12 inches. Find its diameter.

Q6:

A cone has a volume of 486 cubic centimeters. What is the volume of a cylinder that has the same radius and height as the cone?

Q7:

Yara is making cone-shaped hats of diameter 4.2 inches and height 7.3 inches for a party. Find the volume of each cone in terms of .

Q8:

Find, to the nearest tenth, the volume of an oblique cone with a diameter of 13 inches and an altitude of 15 inches.

Q9:

A traffic cone has a diameter of 15 cm and a height of 0.6 m. By modelling it as a solid cone, work out the volume of the traffic cone, giving your answer to the nearest cubic centimeter.

Q10:

Which is greater in volume, a right cone having a base radius of 25 cm and a height of 56 cm, or a right square pyramid having a base with a perimeter of 176 cm and a height of 48 cm?

Q11:

Work out the volume of the cone, giving your answer accurate to two decimal places.

Q12:

Q13:

Work out the volume of a cone with a diameter of 10.5 and a height of 11.3. Give your solution to two decimal places.

Q14:

If the radius of a cone was tripled but the volume stayed the same, what is relation between the new height β π and the original height β π ?

Q15:

Fares wants to make three identical cones made from plaster for a school project. Each cone needs to be 5 inches tall and 2 inches in diameter. How many cubic inches of plaster will Fares need to make his cones? Give your answer in terms of .

Q16:

A cone with a perpendicular height of 9 feet has a density of 6 lbs per cubic foot and a mass of 160 lb. Work out, to two decimal places, the radius of the cone, knowing that density = m a s s v o l u m e .

Q17:

Determine, to the nearest tenth, the volume of a right cone having a height of 106 cm, given that the perimeter of its base is 318 cm. Use π = 2 2 7 .

Q18:

Completely immersing a metallic cone of height 45.63 cm in a cylinder of water raises the water level by 9 cm. What is the radius of the cylinder if the base radius of the cone is 41 cm? Give your answer to the nearest hundredth, if necessary.

Q19:

Determine, to the nearest hundredth, the volume of a cone of base diameter 32 and height 23.

Q20:

Which would have a greater effect on the volume of a cone, doubling its radius or doubling its height?

Q21:

Find the volume of the cone. Give your answer in cubic millimeters to two decimal places.

Q22:

Given that the volume of a right circular cone is 643 cm^{3}, determine its volume when its height and radius are doubled.

Q23:

Given that the volume of a right circular cone is 3β405 cm^{3}, determine its volume when its height is doubled.

Q24:

Given that the volume of a right circular cone is 2β574 cm^{3}, determine its volume when its radius is doubled.

Q25:

A cone has a perpendicular height of 92 inches and a volume of 4 2 0 π cubic inches. Work out the radius of the cone, giving your answer to the nearest inch.

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