Volume and Surface Area Review

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

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

Back

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

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

How do you convert cubic centimeters to cubic millimeters?

Back

1 cm³ = 1,000 mm³.

Front

What is the volume of a cone with a radius of 12 cm and a height of 18 cm?

Back

Volume = (1/3) × π × (12)² × (18) ≈ 904.32 cm³.

Front

What is the volume of a marble with a diameter of 10 mm?

Back

Volume = (4/3) × π × (5)³ ≈ 523.6 mm³.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

How do you find the slant height of a cone?

Back

Use the Pythagorean theorem: l = √(r² + h²), where r is the radius and h is the height.

Front

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

Back

Diameter = 2 × radius.