Volume of Cones

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

What does the term 'radius' mean in the context of a cone?

Back

The radius is the distance from the center of the circular base of the cone to its edge.

Front

What is the height of a cone?

Back

The height of a cone is the perpendicular distance from the base to the apex (the top point) of the cone.

Front

If a cone has a diameter of 10 cm, what is its radius?

Back

The radius is half of the diameter, so the radius is 5 cm.

Front

How do you convert diameter to radius?

Back

To convert diameter to radius, divide the diameter by 2.

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 4 cm.

Back

V = (1/3)π(3)²(4) = 12π cm³ ≈ 37.70 cm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

What is π (pi) approximately equal to?

Back

π is approximately equal to 3.14.

Front

If a cone has a height of 10 inches and a radius of 2 inches, what is its volume?

Back

V = (1/3)π(2)²(10) = (1/3)π(4)(10) = (40/3)π ≈ 41.89 inches³.

Front

What is the volume of a cone with a base radius of 6 cm and a height of 9 cm?

Back

V = (1/3)π(6)²(9) = (1/3)π(36)(9) = 108π cm³ ≈ 339.12 cm³.