EXIT TICKET Volume of Prisms and 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 'π' represent in the volume formula for a cylinder?

Back

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius (V = π(2r)²h = 4πr²h).

Front

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

Back

Volume = π(3 ft)²(5 ft) = 45π ft³ ≈ 141.37 ft³.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

Volume = π(2 cm)²(10 cm) = 40π cm³ ≈ 125.66 cm³.

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cm³ to m³, divide by 1,000,000 (1 m³ = 1,000,000 cm³).

Front

What is the volume of a cylinder with a radius of 5 in and a height of 12 in?

Back

Volume = π(5 in)²(12 in) = 300π in³ ≈ 942.48 in³.

Front

What is the volume of a cylinder with a height of 8 m and a diameter of 4 m?

Back

Volume = π(2 m)²(8 m) = 32π m³ ≈ 100.53 m³.

Front

What is the volume of a cylinder with a radius of 1 m and a height of 1 m?

Back

Volume = π(1 m)²(1 m) = π m³ ≈ 3.14 m³.