Volume of Pyramids and Cones

Front

What is the formula for the volume of a cone?

Back

V = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

How do you find the radius of a cone if you know the diameter?

Back

Radius (r) = Diameter (d) / 2.

Front

What does the 'h' in the volume formula V = B × h represent?

Back

The height of the cone.

Front

If a cone has a height of 10 cm and a radius of 9 cm, what is its volume?

Back

848 cm³.

Front

What is the approximate volume of a cone with a height of 30 in. and a diameter of 20 in.?

Back

3,140 in³.

Front

What does 'B' stand for in the volume formula V = B × h?

Back

B stands for the area of the base.

Front

How do you calculate the area of the base of a cone?

Back

Area of the base (B) = π × r², where r is the radius.

Front

What is the volume of a cone with a radius of 3 cm and a height of 7 cm?

Back

Volume = (1/3) × π × (3)² × (7) = 21π cm³.

Front

What is the relationship between the height and volume of a cone?

Back

Volume increases with height if the base area remains constant.

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4.