Volumes of Prisms and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the value of π (pi) used in calculations?

Back

Approximately 3.14.

Front

How do you find the volume of a triangular prism?

Back

V = (base area)(height).

Front

What is the volume of a cube with side length 's'?

Back

V = s³.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is its volume?

Back

V = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 7 cm?

Back

V = π(2)²(7) = 28π ≈ 87.9 cm³.

Front

What is the base area of a triangle with a base of 4 cm and a height of 3 cm?

Back

Base area = 1/2 * base * height = 1/2 * 4 * 3 = 6 cm².

Front

How do you round a volume 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 triangular prism with a base area of 10 cm² and a height of 8 cm?

Back

V = (10)(8) = 80 cm³.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 4 cm?

Back

First, find the radius: r = 5 cm. Then, V = π(5)²(4) = 100π ≈ 314.2 cm³.