Volume/Surface Area of Cones and Pyramids

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the formula for the surface area of a cone?

Back

Surface Area = π * r * (r + l), where r is the radius and l is the slant height.

Front

What is the formula for the volume of a pyramid?

Back

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

Front

What is the formula for the surface area of a pyramid?

Back

Surface Area = B + (1/2) * P * l, where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Front

What shape is the base of a cone?

Back

The base of a cone is a circle.

Front

What shape is the base of a square pyramid?

Back

The base of a square pyramid is a square.

Front

How do you find the area of a circle?

Back

Area = π * r², where r is the radius.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If the radius of a cone is 3 inches and the height is 4 inches, what is the volume?

Back

Volume = (1/3) * π * (3)² * (4) = 12π ≈ 37.68 in³.

Front

If the slant height of a cone is 5 inches and the radius is 3 inches, what is the surface area?

Back

Surface Area = π * 3 * (3 + 5) = 24π ≈ 75.40 in².