Class Work #52 - Cylinders & Spheres

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 is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the lateral area of a cylinder?

Back

Lateral Area = 2πrh, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the formula for the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

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

Back

Diameter = 2 × Radius.

Front

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

Back

1 liter = 1000 cubic centimeters.

Front

What is the significance of rounding in volume and surface area calculations?

Back

Rounding provides a more manageable number for practical use, but it can introduce slight inaccuracies.

Front

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

Back

Volume = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

If a sphere has a radius of 4 cm, what is its surface area?

Back

Surface Area = 4π(4)² = 64π ≈ 201.1 cm².