Volume of Pyramids and Cones

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

What is the formula for the volume of a pyramid with a rectangular base?

Back

V = (1/3)lw h

Front

How do you calculate the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

V = (1/3)π(3)²(5) = 15π cm³ ≈ 47.1 cm³

Front

What is the volume of a pyramid with a square base of side length 4 m and height 9 m?

Back

V = (1/3)(4)(4)(9) = 48 m³

Front

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

Back

The volume increases by a factor of 4, since V = (1/3)π(2r)²h = (4/3)πr²h.

Front

What is the volume of a cone with a radius of 2 m and a height of 6 m?

Back

V = (1/3)π(2)²(6) = 8π m³ ≈ 25.1 m³

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 1/3 the volume of the cylinder.

Front

How do you find the volume of a pyramid with a triangular base?

Back

V = (1/3)(base area)(height) where base area = (1/2)bh.

Front

What is the volume of a cone with a diameter of 10 cm and a height of 12 cm?

Back

V = (1/3)π(5)²(12) = 100π cm³ ≈ 314.2 cm³

Front

What is the volume of a pyramid with a base area of 20 m² and a height of 10 m?

Back

V = (1/3)(20)(10) = 66.67 m³