Surface Area and Volume

Front

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

Back

The surface area of a cone is given by the formula: SA = πr(r + l), where r is the radius of the base and l is the slant height.

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

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

Back

The surface area of a sphere is given by the formula: SA = 4πr², where r is the radius of the sphere.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where r is the radius of the base and h is the height.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area that the surface of an object occupies, while volume measures the amount of space an object occupies.

Front

How do you calculate the slant height of a cone?

Back

The slant height (l) of a cone can be calculated using the Pythagorean theorem: l = √(r² + h²), where r is the radius and h is the height.

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square meters (m²), square centimeters (cm²), or square millimeters (mm²).

Front

What units are used to measure volume?

Back

Volume is measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

Front

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

Back

The diameter of a circle is twice the radius: Diameter = 2 × Radius.