Volume of prisms, pyramids, cylinders, cones, spheres

Front

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

Back

Volume = (1/3) × base area × height

Front

How do you calculate the area of a circle?

Back

Area = π × radius²

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × radius² × height

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × radius³

Front

What is the formula for the volume of a hemisphere?

Back

Volume = (2/3) × π × radius³

Front

If a circle has a diameter of 18, what is the radius?

Back

Radius = diameter / 2 = 9

Front

What is the volume of a cylinder with a radius of 5 meters and a height of 10 meters?

Back

Volume = π × 5² × 10 = 250π ≈ 785.4 cubic meters

Front

What is the volume of a square base pyramid with a base of 6 x 6 and a height of 4?

Back

Volume = (1/3) × (6 × 6) × 4 = 48

Front

How many cubic meters of water are in a cylindrical tank that is 8 meters across and 38 meters high when half full?

Back

Volume = π × (4)² × 38 / 2 = 955 cubic meters