Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

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

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a composite solid?

Back

The volume of a composite solid is the sum of the volumes of its individual components.

Front

How do you find the volume of a half-sphere?

Back

V = (2/3)πr³, where r is the radius of the sphere.

Front

What does it mean to round to the nearest hundredth?

Back

It means to round the number to two decimal places.

Front

What is the significance of using π in volume calculations?

Back

π is a mathematical constant that represents the ratio of a circle's circumference to its diameter, essential in calculations involving circles and spheres.

Front

How do you calculate the volume of a composite solid that includes a cylinder and a half-sphere?

Back

Calculate the volume of the cylinder and the half-sphere separately, then add the two volumes together.

Front

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

Back

V = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

What is the volume of a half-sphere with a radius of 4 cm?

Back

V = (2/3)π(4)³ = (2/3)π(64) ≈ 134.04 cm³.