Volume of Prisms & Cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What does 'B' represent in the volume formula for prisms?

Back

B represents the area of the base of the prism.

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

If a cylinder has a height of 10 cm and a base radius of 2 cm, what is its volume?

Back

Volume = π(2 cm)²(10 cm) = 40π cm³ ≈ 125.6 cm³.

Front

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

Back

Volume = length × width × height = 4 cm × 3 cm × 5 cm = 60 cm³.

Front

What is the relationship between the volume of a cylinder and the area of its base?

Back

The volume of a cylinder is the product of the area of its base and its height.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

Back

Volume = π(5 cm)²(7 cm) = 175π cm³ ≈ 549.8 cm³.

Front

What is the volume of a prism with a base area of 20 cm² and a height of 4 cm?

Back

Volume = Base Area × Height = 20 cm² × 4 cm = 80 cm³.