Volume of Cylinders - Part 2

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

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

Back

Radius (r) is half of the diameter (d): r = d/2.

Front

What does 'V' represent in the volume formula V = Bh?

Back

'V' represents the volume of the cylinder.

Front

What does 'B' represent in the volume formula V = Bh?

Back

'B' represents the area of the base of the cylinder.

Front

What is the area of the base of a cylinder with a radius of 3 inches?

Back

Area = πr² = π(3)² = 28.3 in² (approximately).

Front

If a cylinder has a height of 5 inches and a base area of 20 in², what is its volume?

Back

Volume = Bh = 20 in² * 5 in = 100 in³.

Front

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

Back

Volume = π(4)²(10) = 502.7 cm³ (approximately).

Front

How do you convert the volume of a cylinder from cubic inches to cubic centimeters?

Back

Multiply the volume in cubic inches by 16.387 to convert to cubic centimeters.

Front

What is the relationship between the height and volume of a cylinder?

Back

Volume increases linearly with height if the base area remains constant.

Front

If the volume of a cylinder is 50 cm³ and the height is 5 cm, what is the area of the base?

Back

Area = V/h = 50 cm³ / 5 cm = 10 cm².