Volume of Cones and Pyramids

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

How do you calculate the volume of a square pyramid?

Back

V = (1/3)(side²)(height), where side is the length of the base.

Front

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

Back

The volume of the cone is one-third the volume of the cylinder.

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

V = (1/3)π(3)²(4) = 12π cm³.

Front

What is the volume of a pyramid with a rectangular base of length 4 m and width 3 m, and a height of 6 m?

Back

V = (1/3)(4*3)(6) = 24 m³.

Front

How do you find the volume of a tent shaped like a pyramid?

Back

Use the formula V = (1/3)Bh, where B is the area of the rectangular base.

Front

What is the volume of a cone with a diameter of 10 cm and a height of 5 cm?

Back

V = (1/3)π(5)²(5) = (125/3)π cm³.

Front

What is the volume of a square pyramid with a base side length of 2 cm and height of 3 cm?

Back

V = (1/3)(2²)(3) = 4 cm³.

Front

If the height of a pyramid is doubled, how does that affect its volume?

Back

The volume of the pyramid also doubles.