Geometry Surface area and Volume

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 cylinder?

Back

V = πr²h

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³

Front

What is the formula for the volume of a square pyramid?

Back

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

Front

Find the volume of a cone with a radius of 2 ft and a height of 6 ft. Leave in terms of pi.

Back

V = (1/3)π(2²)(6) = 8π ft³

Front

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

Back

V = π(3²)(5) = 45π cm³

Front

If the radius of a sphere is 4 m, what is its volume?

Back

V = (4/3)π(4³) = (64/3)π m³

Front

What is the volume of a square pyramid with a base area of 16 m² and a height of 9 m?

Back

V = (1/3)(16)(9) = 48 m³

Front

What is the difference between surface area and volume?

Back

Surface area is the total area of the surface of a 3D object, while volume is the amount of space inside the object.

Front

How do you calculate the surface area of a cylinder?

Back

SA = 2πr(h + r), where r is the radius and h is the height.