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 pyramid with a square base?

Back

Surface Area = Base Area + (1/2) * Perimeter * Slant Height.

Front

Define 'slant height' in the context of pyramids and cones.

Back

Slant height is the distance from the base of the pyramid or cone to the apex along the lateral face.

Front

What is the base shape of a square pyramid?

Back

The base shape of a square pyramid is a square.

Front

How do you calculate the base area of a square?

Back

Base Area = side length × side length.

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 * Radius.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) * Base Area * Height.

Front

How do you find 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 lateral surface area of a cone?

Back

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

Front

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

Back

Volume = (1/3) * π * (3)² * (4) = 12π cm³ ≈ 37.68 cm³.