Geometry Pyramids/Cones HW Check

Front

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

Back

The surface area (SA) of a cone is given by the formula: SA = πr(r + l), where r is the radius of the base and l is the slant height.

Front

How do you calculate the volume of a pyramid?

Back

The volume (V) of a pyramid is calculated using the formula: V = (1/3) * B * h, where B is the area of the base and h is the height.

Front

What is the lateral area of a cone?

Back

The lateral area (LA) of a cone is the area of the cone's side surface, calculated as: LA = πrl, where r is the radius and l is the slant height.

Front

What is the relationship between the radius, height, and slant height of a cone?

Back

The relationship is given by the Pythagorean theorem: l = √(r² + h²), where l is the slant height, r is the radius, and h is the height.

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is given by the formula: V = (1/3) * πr²h, where r is the radius and h is the height.

Front

How do you find the surface area of a pyramid?

Back

The surface area (SA) of a pyramid is calculated as: SA = 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 is the formula for the surface area of a pyramid with a square base?

Back

For a pyramid with a square base, the surface area is: SA = s² + 2sl, where s is the length of a side of the base and l is the slant height.

Front

If a cone has a radius of 6 in and a height of 4 in, what is its volume?

Back

The volume is V = (1/3) * π * (6)² * (4) = 48π in³.

Front

What is the surface area of a cone with a radius of 6 ft and a slant height of 10 ft?

Back

The surface area is SA = π * 6 * (6 + 10) = 96π ft².

Front

How do you find the slant height of a cone if you know the radius and lateral area?

Back

Use the formula: l = LA / (πr), where LA is the lateral area and r is the radius.