Volume: Cylinders, Cones, & Spheres HW

Front

What is the formula for the volume of a sphere?

Back

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

Front

Calculate the volume of a sphere with a radius of 5 cm.

Back

V = (4/3)π(5)³ = 523.6 cm³.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

Calculate the volume of a cylinder with a radius of 3 cm and height of 10 cm.

Back

V = π(3)²(10) = 282.74 cm³.

Front

What is the formula for the volume of a cone?

Back

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

Front

Calculate the volume of a cone with a radius of 3 cm and height of 10 cm.

Back

V = (1/3)π(3)²(10) = 28.27 cm³.

Front

What is the value of π (pi) approximately?

Back

π is approximately 3.14.

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

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

Back

If the radius is doubled, the volume increases by a factor of 8.

Front

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

Back

V = (4/3)π(4)³ = 268.08 cm³.