Volume of Prisms & Cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height.

Front

How do you find the radius of a cylinder if you know the diameter?

Back

Radius = Diameter ÷ 2.

Front

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

Back

Diameter = 2 × Radius.

Front

If a cylinder has a height of 10 in and a radius of 3 in, what is its volume?

Back

Volume = π × (3 in)² × (10 in) ≈ 94.25 in³.

Front

What is the volume of a cylinder with a radius of 5 in and a height of 15 in?

Back

Volume = π × (5 in)² × (15 in) ≈ 392.7 in³.

Front

What is the volume of a prism with a base area of 12 cm² and a height of 4 cm?

Back

Volume = 12 cm² × 4 cm = 48 cm³.

Front

How do you compare the volumes of two cylinders?

Back

Calculate the volume of each cylinder using the formula and compare the results.

Front

What is the volume of a cylinder with a diameter of 10 in and a height of 20 in?

Back

Volume = π × (5 in)² × (20 in) ≈ 314.16 in³.

Front

What is the volume of a cylinder with a radius of 7 in and a height of 10 in?

Back

Volume = π × (7 in)² × (10 in) ≈ 1539.38 in³.